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Finding the Fourth Proportional to 11,871.63, 16,381.42 and 6,565.72

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Solution

The fourth proportional to 11,871.63, 16,381.42 and 6,565.72 is: 9,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.63 : 16,381.42 = 6,565.72 : x
  2. Step 2: Convert to fraction form
    11,871.63/16,381.42 = 6,565.72/x
  3. Step 3: Cross multiply
    11,871.63x = 16,381.42 × 6,565.72
  4. Step 4: Simplify right side
    11,871.63x = 107,555,816.92
  5. Step 5: Solve for x
    x = 107,555,816.92/11,871.63
  6. Step 6: Final answer
    x = 9,059.90

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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.