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Finding the Fourth Proportional to 11,557.92, 17,340.12 and 3,765.72

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Solution

The fourth proportional to 11,557.92, 17,340.12 and 3,765.72 is: 5,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.92 : 17,340.12 = 3,765.72 : x
  2. Step 2: Convert to fraction form
    11,557.92/17,340.12 = 3,765.72/x
  3. Step 3: Cross multiply
    11,557.92x = 17,340.12 × 3,765.72
  4. Step 4: Simplify right side
    11,557.92x = 65,298,036.69
  5. Step 5: Solve for x
    x = 65,298,036.69/11,557.92
  6. Step 6: Final answer
    x = 5,649.64

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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.