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Finding the Fourth Proportional to 8,165.52, 12,234.60 and 7,862.16

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Solution

The fourth proportional to 8,165.52, 12,234.60 and 7,862.16 is: 11,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.52 : 12,234.60 = 7,862.16 : x
  2. Step 2: Convert to fraction form
    8,165.52/12,234.60 = 7,862.16/x
  3. Step 3: Cross multiply
    8,165.52x = 12,234.60 × 7,862.16
  4. Step 4: Simplify right side
    8,165.52x = 96,190,382.74
  5. Step 5: Solve for x
    x = 96,190,382.74/8,165.52
  6. Step 6: Final answer
    x = 11,780.07

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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.