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Finding the Fourth Proportional to 8,475.24, 12,702.96 and 5,189.88

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Solution

The fourth proportional to 8,475.24, 12,702.96 and 5,189.88 is: 7,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.24 : 12,702.96 = 5,189.88 : x
  2. Step 2: Convert to fraction form
    8,475.24/12,702.96 = 5,189.88/x
  3. Step 3: Cross multiply
    8,475.24x = 12,702.96 × 5,189.88
  4. Step 4: Simplify right side
    8,475.24x = 65,926,838.04
  5. Step 5: Solve for x
    x = 65,926,838.04/8,475.24
  6. Step 6: Final answer
    x = 7,778.76

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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.