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Finding the Fourth Proportional to 8,359.53, 12,538.14 and 5,853.12

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Solution

The fourth proportional to 8,359.53, 12,538.14 and 5,853.12 is: 8,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.53 : 12,538.14 = 5,853.12 : x
  2. Step 2: Convert to fraction form
    8,359.53/12,538.14 = 5,853.12/x
  3. Step 3: Cross multiply
    8,359.53x = 12,538.14 × 5,853.12
  4. Step 4: Simplify right side
    8,359.53x = 73,387,238.00
  5. Step 5: Solve for x
    x = 73,387,238.00/8,359.53
  6. Step 6: Final answer
    x = 8,778.87

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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.