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Finding the Fourth Proportional to 11,871.40, 16,382.34 and 6,566.20

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Solution

The fourth proportional to 11,871.40, 16,382.34 and 6,566.20 is: 9,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.40 : 16,382.34 = 6,566.20 : x
  2. Step 2: Convert to fraction form
    11,871.40/16,382.34 = 6,566.20/x
  3. Step 3: Cross multiply
    11,871.40x = 16,382.34 × 6,566.20
  4. Step 4: Simplify right side
    11,871.40x = 107,569,720.91
  5. Step 5: Solve for x
    x = 107,569,720.91/11,871.40
  6. Step 6: Final answer
    x = 9,061.25

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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.