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Finding the Fourth Proportional to 8,666.38, 11,959.62 and 4,687.49

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Solution

The fourth proportional to 8,666.38, 11,959.62 and 4,687.49 is: 6,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.38 : 11,959.62 = 4,687.49 : x
  2. Step 2: Convert to fraction form
    8,666.38/11,959.62 = 4,687.49/x
  3. Step 3: Cross multiply
    8,666.38x = 11,959.62 × 4,687.49
  4. Step 4: Simplify right side
    8,666.38x = 56,060,599.15
  5. Step 5: Solve for x
    x = 56,060,599.15/8,666.38
  6. Step 6: Final answer
    x = 6,468.74

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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.