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Finding the Fourth Proportional to 10,929.69, 15,082.65 and 6,149.90

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Solution

The fourth proportional to 10,929.69, 15,082.65 and 6,149.90 is: 8,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.69 : 15,082.65 = 6,149.90 : x
  2. Step 2: Convert to fraction form
    10,929.69/15,082.65 = 6,149.90/x
  3. Step 3: Cross multiply
    10,929.69x = 15,082.65 × 6,149.90
  4. Step 4: Simplify right side
    10,929.69x = 92,756,826.94
  5. Step 5: Solve for x
    x = 92,756,826.94/10,929.69
  6. Step 6: Final answer
    x = 8,486.68

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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.