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Finding the Fourth Proportional to 8,432.64, 12,640.32 and 7,283.52

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Solution

The fourth proportional to 8,432.64, 12,640.32 and 7,283.52 is: 10,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.64 : 12,640.32 = 7,283.52 : x
  2. Step 2: Convert to fraction form
    8,432.64/12,640.32 = 7,283.52/x
  3. Step 3: Cross multiply
    8,432.64x = 12,640.32 × 7,283.52
  4. Step 4: Simplify right side
    8,432.64x = 92,066,023.53
  5. Step 5: Solve for x
    x = 92,066,023.53/8,432.64
  6. Step 6: Final answer
    x = 10,917.82

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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.