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Finding the Fourth Proportional to 11,132.71, 15,363.32 and 6,096.84

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Solution

The fourth proportional to 11,132.71, 15,363.32 and 6,096.84 is: 8,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.71 : 15,363.32 = 6,096.84 : x
  2. Step 2: Convert to fraction form
    11,132.71/15,363.32 = 6,096.84/x
  3. Step 3: Cross multiply
    11,132.71x = 15,363.32 × 6,096.84
  4. Step 4: Simplify right side
    11,132.71x = 93,667,673.42
  5. Step 5: Solve for x
    x = 93,667,673.42/11,132.71
  6. Step 6: Final answer
    x = 8,413.73

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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.