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Finding the Fourth Proportional to 10,364.96, 15,532.08 and 8,529.12

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Solution

The fourth proportional to 10,364.96, 15,532.08 and 8,529.12 is: 12,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.96 : 15,532.08 = 8,529.12 : x
  2. Step 2: Convert to fraction form
    10,364.96/15,532.08 = 8,529.12/x
  3. Step 3: Cross multiply
    10,364.96x = 15,532.08 × 8,529.12
  4. Step 4: Simplify right side
    10,364.96x = 132,474,974.17
  5. Step 5: Solve for x
    x = 132,474,974.17/10,364.96
  6. Step 6: Final answer
    x = 12,781.04

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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.