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Finding the Fourth Proportional to 11,507.68, 17,247.38 and 5,957.86

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Solution

The fourth proportional to 11,507.68, 17,247.38 and 5,957.86 is: 8,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.68 : 17,247.38 = 5,957.86 : x
  2. Step 2: Convert to fraction form
    11,507.68/17,247.38 = 5,957.86/x
  3. Step 3: Cross multiply
    11,507.68x = 17,247.38 × 5,957.86
  4. Step 4: Simplify right side
    11,507.68x = 102,757,447.18
  5. Step 5: Solve for x
    x = 102,757,447.18/11,507.68
  6. Step 6: Final answer
    x = 8,929.47

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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.