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Finding the Fourth Proportional to 11,687.32, 16,139.28 and 7,502.86

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Solution

The fourth proportional to 11,687.32, 16,139.28 and 7,502.86 is: 10,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.32 : 16,139.28 = 7,502.86 : x
  2. Step 2: Convert to fraction form
    11,687.32/16,139.28 = 7,502.86/x
  3. Step 3: Cross multiply
    11,687.32x = 16,139.28 × 7,502.86
  4. Step 4: Simplify right side
    11,687.32x = 121,090,758.34
  5. Step 5: Solve for x
    x = 121,090,758.34/11,687.32
  6. Step 6: Final answer
    x = 10,360.87

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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.