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Finding the Fourth Proportional to 8,487.60, 12,731.76 and 2,644.32

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Solution

The fourth proportional to 8,487.60, 12,731.76 and 2,644.32 is: 3,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.60 : 12,731.76 = 2,644.32 : x
  2. Step 2: Convert to fraction form
    8,487.60/12,731.76 = 2,644.32/x
  3. Step 3: Cross multiply
    8,487.60x = 12,731.76 × 2,644.32
  4. Step 4: Simplify right side
    8,487.60x = 33,666,847.60
  5. Step 5: Solve for x
    x = 33,666,847.60/8,487.60
  6. Step 6: Final answer
    x = 3,966.59

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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.