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Finding the Fourth Proportional to 10,532.38, 15,793.27 and 3,509.91

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Solution

The fourth proportional to 10,532.38, 15,793.27 and 3,509.91 is: 5,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.38 : 15,793.27 = 3,509.91 : x
  2. Step 2: Convert to fraction form
    10,532.38/15,793.27 = 3,509.91/x
  3. Step 3: Cross multiply
    10,532.38x = 15,793.27 × 3,509.91
  4. Step 4: Simplify right side
    10,532.38x = 55,432,956.31
  5. Step 5: Solve for x
    x = 55,432,956.31/10,532.38
  6. Step 6: Final answer
    x = 5,263.10

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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.