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Finding the Fourth Proportional to 8,155.86, 12,243.78 and 5,384.88

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Solution

The fourth proportional to 8,155.86, 12,243.78 and 5,384.88 is: 8,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.86 : 12,243.78 = 5,384.88 : x
  2. Step 2: Convert to fraction form
    8,155.86/12,243.78 = 5,384.88/x
  3. Step 3: Cross multiply
    8,155.86x = 12,243.78 × 5,384.88
  4. Step 4: Simplify right side
    8,155.86x = 65,931,286.05
  5. Step 5: Solve for x
    x = 65,931,286.05/8,155.86
  6. Step 6: Final answer
    x = 8,083.92

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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.