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Finding the Fourth Proportional to 8,532.16, 11,792.64 and 6,432.64

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Solution

The fourth proportional to 8,532.16, 11,792.64 and 6,432.64 is: 8,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.16 : 11,792.64 = 6,432.64 : x
  2. Step 2: Convert to fraction form
    8,532.16/11,792.64 = 6,432.64/x
  3. Step 3: Cross multiply
    8,532.16x = 11,792.64 × 6,432.64
  4. Step 4: Simplify right side
    8,532.16x = 75,857,807.77
  5. Step 5: Solve for x
    x = 75,857,807.77/8,532.16
  6. Step 6: Final answer
    x = 8,890.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.