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Finding the Fourth Proportional to 8,687.70, 13,031.55 and 5,407.20

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Solution

The fourth proportional to 8,687.70, 13,031.55 and 5,407.20 is: 8,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.70 : 13,031.55 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    8,687.70/13,031.55 = 5,407.20/x
  3. Step 3: Cross multiply
    8,687.70x = 13,031.55 × 5,407.20
  4. Step 4: Simplify right side
    8,687.70x = 70,464,197.16
  5. Step 5: Solve for x
    x = 70,464,197.16/8,687.70
  6. Step 6: Final answer
    x = 8,110.80

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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.