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Finding the Fourth Proportional to 10,318.66, 15,478.81 and 6,186.86

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Solution

The fourth proportional to 10,318.66, 15,478.81 and 6,186.86 is: 9,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.66 : 15,478.81 = 6,186.86 : x
  2. Step 2: Convert to fraction form
    10,318.66/15,478.81 = 6,186.86/x
  3. Step 3: Cross multiply
    10,318.66x = 15,478.81 × 6,186.86
  4. Step 4: Simplify right side
    10,318.66x = 95,765,230.44
  5. Step 5: Solve for x
    x = 95,765,230.44/10,318.66
  6. Step 6: Final answer
    x = 9,280.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.