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Finding the Fourth Proportional to 12,957.87, 17,887.38 and 8,711.40

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Solution

The fourth proportional to 12,957.87, 17,887.38 and 8,711.40 is: 12,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.87 : 17,887.38 = 8,711.40 : x
  2. Step 2: Convert to fraction form
    12,957.87/17,887.38 = 8,711.40/x
  3. Step 3: Cross multiply
    12,957.87x = 17,887.38 × 8,711.40
  4. Step 4: Simplify right side
    12,957.87x = 155,824,062.85
  5. Step 5: Solve for x
    x = 155,824,062.85/12,957.87
  6. Step 6: Final answer
    x = 12,025.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.