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Finding the Fourth Proportional to 8,532.12, 11,766.78 and 6,539.16

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Solution

The fourth proportional to 8,532.12, 11,766.78 and 6,539.16 is: 9,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.12 : 11,766.78 = 6,539.16 : x
  2. Step 2: Convert to fraction form
    8,532.12/11,766.78 = 6,539.16/x
  3. Step 3: Cross multiply
    8,532.12x = 11,766.78 × 6,539.16
  4. Step 4: Simplify right side
    8,532.12x = 76,944,857.10
  5. Step 5: Solve for x
    x = 76,944,857.10/8,532.12
  6. Step 6: Final answer
    x = 9,018.26

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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.