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Finding the Fourth Proportional to 8,115.81, 12,193.14 and 5,199.81

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Solution

The fourth proportional to 8,115.81, 12,193.14 and 5,199.81 is: 7,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.81 : 12,193.14 = 5,199.81 : x
  2. Step 2: Convert to fraction form
    8,115.81/12,193.14 = 5,199.81/x
  3. Step 3: Cross multiply
    8,115.81x = 12,193.14 × 5,199.81
  4. Step 4: Simplify right side
    8,115.81x = 63,402,011.30
  5. Step 5: Solve for x
    x = 63,402,011.30/8,115.81
  6. Step 6: Final answer
    x = 7,812.16

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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.