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Finding the Fourth Proportional to 8,483,922.75, 11,707,714.98 and 4,616,377.28

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Solution

The fourth proportional to 8,483,922.75, 11,707,714.98 and 4,616,377.28 is: 6,370,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483,922.75 : 11,707,714.98 = 4,616,377.28 : x
  2. Step 2: Convert to fraction form
    8,483,922.75/11,707,714.98 = 4,616,377.28/x
  3. Step 3: Cross multiply
    8,483,922.75x = 11,707,714.98 × 4,616,377.28
  4. Step 4: Simplify right side
    8,483,922.75x = 54,047,229,375,849.09
  5. Step 5: Solve for x
    x = 54,047,229,375,849.09/8,483,922.75
  6. Step 6: Final answer
    x = 6,370,547.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.