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Finding the Fourth Proportional to 11,854.52, 16,359 and 6,549.20

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Solution

The fourth proportional to 11,854.52, 16,359 and 6,549.20 is: 9,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.52 : 16,359 = 6,549.20 : x
  2. Step 2: Convert to fraction form
    11,854.52/16,359 = 6,549.20/x
  3. Step 3: Cross multiply
    11,854.52x = 16,359 × 6,549.20
  4. Step 4: Simplify right side
    11,854.52x = 107,138,362.80
  5. Step 5: Solve for x
    x = 107,138,362.80/11,854.52
  6. Step 6: Final answer
    x = 9,037.76

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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.