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Finding the Fourth Proportional to 11,373.64, 15,694.42 and 6,404.68

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Solution

The fourth proportional to 11,373.64, 15,694.42 and 6,404.68 is: 8,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.64 : 15,694.42 = 6,404.68 : x
  2. Step 2: Convert to fraction form
    11,373.64/15,694.42 = 6,404.68/x
  3. Step 3: Cross multiply
    11,373.64x = 15,694.42 × 6,404.68
  4. Step 4: Simplify right side
    11,373.64x = 100,517,737.89
  5. Step 5: Solve for x
    x = 100,517,737.89/11,373.64
  6. Step 6: Final answer
    x = 8,837.78

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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.