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Finding the Fourth Proportional to 10,930.11, 16,398 and 3,139.53

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Solution

The fourth proportional to 10,930.11, 16,398 and 3,139.53 is: 4,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.11 : 16,398 = 3,139.53 : x
  2. Step 2: Convert to fraction form
    10,930.11/16,398 = 3,139.53/x
  3. Step 3: Cross multiply
    10,930.11x = 16,398 × 3,139.53
  4. Step 4: Simplify right side
    10,930.11x = 51,482,012.94
  5. Step 5: Solve for x
    x = 51,482,012.94/10,930.11
  6. Step 6: Final answer
    x = 4,710.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.