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Finding the Fourth Proportional to 8,582.75, 11,843.62 and 4,805.28

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Solution

The fourth proportional to 8,582.75, 11,843.62 and 4,805.28 is: 6,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.75 : 11,843.62 = 4,805.28 : x
  2. Step 2: Convert to fraction form
    8,582.75/11,843.62 = 4,805.28/x
  3. Step 3: Cross multiply
    8,582.75x = 11,843.62 × 4,805.28
  4. Step 4: Simplify right side
    8,582.75x = 56,911,827.07
  5. Step 5: Solve for x
    x = 56,911,827.07/8,582.75
  6. Step 6: Final answer
    x = 6,630.96

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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.