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Finding the Fourth Proportional to 11,439.78, 15,785.76 and 6,403.74

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Solution

The fourth proportional to 11,439.78, 15,785.76 and 6,403.74 is: 8,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.78 : 15,785.76 = 6,403.74 : x
  2. Step 2: Convert to fraction form
    11,439.78/15,785.76 = 6,403.74/x
  3. Step 3: Cross multiply
    11,439.78x = 15,785.76 × 6,403.74
  4. Step 4: Simplify right side
    11,439.78x = 101,087,902.74
  5. Step 5: Solve for x
    x = 101,087,902.74/11,439.78
  6. Step 6: Final answer
    x = 8,836.53

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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.