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Finding the Fourth Proportional to 11,655.12, 17,471.52 and 3,859.68

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Solution

The fourth proportional to 11,655.12, 17,471.52 and 3,859.68 is: 5,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.12 : 17,471.52 = 3,859.68 : x
  2. Step 2: Convert to fraction form
    11,655.12/17,471.52 = 3,859.68/x
  3. Step 3: Cross multiply
    11,655.12x = 17,471.52 × 3,859.68
  4. Step 4: Simplify right side
    11,655.12x = 67,434,476.31
  5. Step 5: Solve for x
    x = 67,434,476.31/11,655.12
  6. Step 6: Final answer
    x = 5,785.82

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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.