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Finding the Fourth Proportional to 10,920.39, 15,070.17 and 6,445.14

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Solution

The fourth proportional to 10,920.39, 15,070.17 and 6,445.14 is: 8,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.39 : 15,070.17 = 6,445.14 : x
  2. Step 2: Convert to fraction form
    10,920.39/15,070.17 = 6,445.14/x
  3. Step 3: Cross multiply
    10,920.39x = 15,070.17 × 6,445.14
  4. Step 4: Simplify right side
    10,920.39x = 97,129,355.47
  5. Step 5: Solve for x
    x = 97,129,355.47/10,920.39
  6. Step 6: Final answer
    x = 8,894.31

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