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Finding the Fourth Proportional to 11,380.68, 15,706.14 and 6,345.24

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Solution

The fourth proportional to 11,380.68, 15,706.14 and 6,345.24 is: 8,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.68 : 15,706.14 = 6,345.24 : x
  2. Step 2: Convert to fraction form
    11,380.68/15,706.14 = 6,345.24/x
  3. Step 3: Cross multiply
    11,380.68x = 15,706.14 × 6,345.24
  4. Step 4: Simplify right side
    11,380.68x = 99,659,227.77
  5. Step 5: Solve for x
    x = 99,659,227.77/11,380.68
  6. Step 6: Final answer
    x = 8,756.88

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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.