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Finding the Fourth Proportional to 7,922.33, 10,930.17 and 4,894.21

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Solution

The fourth proportional to 7,922.33, 10,930.17 and 4,894.21 is: 6,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.33 : 10,930.17 = 4,894.21 : x
  2. Step 2: Convert to fraction form
    7,922.33/10,930.17 = 4,894.21/x
  3. Step 3: Cross multiply
    7,922.33x = 10,930.17 × 4,894.21
  4. Step 4: Simplify right side
    7,922.33x = 53,494,547.32
  5. Step 5: Solve for x
    x = 53,494,547.32/7,922.33
  6. Step 6: Final answer
    x = 6,752.38

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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.