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Finding the Fourth Proportional to 8,115.76, 12,178.68 and 5,196.16

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Solution

The fourth proportional to 8,115.76, 12,178.68 and 5,196.16 is: 7,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.76 : 12,178.68 = 5,196.16 : x
  2. Step 2: Convert to fraction form
    8,115.76/12,178.68 = 5,196.16/x
  3. Step 3: Cross multiply
    8,115.76x = 12,178.68 × 5,196.16
  4. Step 4: Simplify right side
    8,115.76x = 63,282,369.87
  5. Step 5: Solve for x
    x = 63,282,369.87/8,115.76
  6. Step 6: Final answer
    x = 7,797.47

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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.