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Finding the Fourth Proportional to 11,853.87, 16,358.13 and 6,549.18

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Solution

The fourth proportional to 11,853.87, 16,358.13 and 6,549.18 is: 9,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.87 : 16,358.13 = 6,549.18 : x
  2. Step 2: Convert to fraction form
    11,853.87/16,358.13 = 6,549.18/x
  3. Step 3: Cross multiply
    11,853.87x = 16,358.13 × 6,549.18
  4. Step 4: Simplify right side
    11,853.87x = 107,132,337.83
  5. Step 5: Solve for x
    x = 107,132,337.83/11,853.87
  6. Step 6: Final answer
    x = 9,037.75

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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.