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Finding the Fourth Proportional to 11,559.16, 17,340.54 and 3,766.16

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Solution

The fourth proportional to 11,559.16, 17,340.54 and 3,766.16 is: 5,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.16 : 17,340.54 = 3,766.16 : x
  2. Step 2: Convert to fraction form
    11,559.16/17,340.54 = 3,766.16/x
  3. Step 3: Cross multiply
    11,559.16x = 17,340.54 × 3,766.16
  4. Step 4: Simplify right side
    11,559.16x = 65,307,248.13
  5. Step 5: Solve for x
    x = 65,307,248.13/11,559.16
  6. Step 6: Final answer
    x = 5,649.83

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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.