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Finding the Fourth Proportional to 11,449.68, 17,160.15 and 6,184.47

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Solution

The fourth proportional to 11,449.68, 17,160.15 and 6,184.47 is: 9,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.68 : 17,160.15 = 6,184.47 : x
  2. Step 2: Convert to fraction form
    11,449.68/17,160.15 = 6,184.47/x
  3. Step 3: Cross multiply
    11,449.68x = 17,160.15 × 6,184.47
  4. Step 4: Simplify right side
    11,449.68x = 106,126,432.87
  5. Step 5: Solve for x
    x = 106,126,432.87/11,449.68
  6. Step 6: Final answer
    x = 9,268.94

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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.