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Finding the Fourth Proportional to 11,854.16, 16,358.92 and 6,549.44

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Solution

The fourth proportional to 11,854.16, 16,358.92 and 6,549.44 is: 9,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.16 : 16,358.92 = 6,549.44 : x
  2. Step 2: Convert to fraction form
    11,854.16/16,358.92 = 6,549.44/x
  3. Step 3: Cross multiply
    11,854.16x = 16,358.92 × 6,549.44
  4. Step 4: Simplify right side
    11,854.16x = 107,141,765.00
  5. Step 5: Solve for x
    x = 107,141,765.00/11,854.16
  6. Step 6: Final answer
    x = 9,038.33

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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.