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Finding the Fourth Proportional to 11,162.64, 16,742.40 and 3,766.13

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Solution

The fourth proportional to 11,162.64, 16,742.40 and 3,766.13 is: 5,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.64 : 16,742.40 = 3,766.13 : x
  2. Step 2: Convert to fraction form
    11,162.64/16,742.40 = 3,766.13/x
  3. Step 3: Cross multiply
    11,162.64x = 16,742.40 × 3,766.13
  4. Step 4: Simplify right side
    11,162.64x = 63,053,971.20
  5. Step 5: Solve for x
    x = 63,053,971.20/11,162.64
  6. Step 6: Final answer
    x = 5,648.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.