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Finding the Fourth Proportional to 11,367.64, 15,687.50 and 6,331.74

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Solution

The fourth proportional to 11,367.64, 15,687.50 and 6,331.74 is: 8,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.64 : 15,687.50 = 6,331.74 : x
  2. Step 2: Convert to fraction form
    11,367.64/15,687.50 = 6,331.74/x
  3. Step 3: Cross multiply
    11,367.64x = 15,687.50 × 6,331.74
  4. Step 4: Simplify right side
    11,367.64x = 99,329,171.25
  5. Step 5: Solve for x
    x = 99,329,171.25/11,367.64
  6. Step 6: Final answer
    x = 8,737.89

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