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Finding the Fourth Proportional to 11,475.68, 15,843.98 and 7,949.72

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Solution

The fourth proportional to 11,475.68, 15,843.98 and 7,949.72 is: 10,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.68 : 15,843.98 = 7,949.72 : x
  2. Step 2: Convert to fraction form
    11,475.68/15,843.98 = 7,949.72/x
  3. Step 3: Cross multiply
    11,475.68x = 15,843.98 × 7,949.72
  4. Step 4: Simplify right side
    11,475.68x = 125,955,204.69
  5. Step 5: Solve for x
    x = 125,955,204.69/11,475.68
  6. Step 6: Final answer
    x = 10,975.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.