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Finding the Fourth Proportional to 10,394.28, 15,577.92 and 7,920

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Solution

The fourth proportional to 10,394.28, 15,577.92 and 7,920 is: 11,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.28 : 15,577.92 = 7,920 : x
  2. Step 2: Convert to fraction form
    10,394.28/15,577.92 = 7,920/x
  3. Step 3: Cross multiply
    10,394.28x = 15,577.92 × 7,920
  4. Step 4: Simplify right side
    10,394.28x = 123,377,126.40
  5. Step 5: Solve for x
    x = 123,377,126.40/10,394.28
  6. Step 6: Final answer
    x = 11,869.71

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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.