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Finding the Fourth Proportional to 8,687.76, 13,032.54 and 2,447.72

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Solution

The fourth proportional to 8,687.76, 13,032.54 and 2,447.72 is: 3,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.76 : 13,032.54 = 2,447.72 : x
  2. Step 2: Convert to fraction form
    8,687.76/13,032.54 = 2,447.72/x
  3. Step 3: Cross multiply
    8,687.76x = 13,032.54 × 2,447.72
  4. Step 4: Simplify right side
    8,687.76x = 31,900,008.81
  5. Step 5: Solve for x
    x = 31,900,008.81/8,687.76
  6. Step 6: Final answer
    x = 3,671.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.