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Finding the Fourth Proportional to 10,337.49, 15,508.38 and 5,405.79

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Solution

The fourth proportional to 10,337.49, 15,508.38 and 5,405.79 is: 8,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.49 : 15,508.38 = 5,405.79 : x
  2. Step 2: Convert to fraction form
    10,337.49/15,508.38 = 5,405.79/x
  3. Step 3: Cross multiply
    10,337.49x = 15,508.38 × 5,405.79
  4. Step 4: Simplify right side
    10,337.49x = 83,835,045.52
  5. Step 5: Solve for x
    x = 83,835,045.52/10,337.49
  6. Step 6: Final answer
    x = 8,109.81

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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.