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Finding the Fourth Proportional to 10,421.38, 15,597.44 and 7,942.17

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Solution

The fourth proportional to 10,421.38, 15,597.44 and 7,942.17 is: 11,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.38 : 15,597.44 = 7,942.17 : x
  2. Step 2: Convert to fraction form
    10,421.38/15,597.44 = 7,942.17/x
  3. Step 3: Cross multiply
    10,421.38x = 15,597.44 × 7,942.17
  4. Step 4: Simplify right side
    10,421.38x = 123,877,520.04
  5. Step 5: Solve for x
    x = 123,877,520.04/10,421.38
  6. Step 6: Final answer
    x = 11,886.86

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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.