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Finding the Fourth Proportional to 10,609.12, 15,901.68 and 5,404

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Solution

The fourth proportional to 10,609.12, 15,901.68 and 5,404 is: 8,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.12 : 15,901.68 = 5,404 : x
  2. Step 2: Convert to fraction form
    10,609.12/15,901.68 = 5,404/x
  3. Step 3: Cross multiply
    10,609.12x = 15,901.68 × 5,404
  4. Step 4: Simplify right side
    10,609.12x = 85,932,678.72
  5. Step 5: Solve for x
    x = 85,932,678.72/10,609.12
  6. Step 6: Final answer
    x = 8,099.89

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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.