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Finding the Fourth Proportional to 8,542.32, 12,817.67 and 5,732.93

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Solution

The fourth proportional to 8,542.32, 12,817.67 and 5,732.93 is: 8,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.32 : 12,817.67 = 5,732.93 : x
  2. Step 2: Convert to fraction form
    8,542.32/12,817.67 = 5,732.93/x
  3. Step 3: Cross multiply
    8,542.32x = 12,817.67 × 5,732.93
  4. Step 4: Simplify right side
    8,542.32x = 73,482,712.12
  5. Step 5: Solve for x
    x = 73,482,712.12/8,542.32
  6. Step 6: Final answer
    x = 8,602.20

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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.