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Finding the Fourth Proportional to 8,266.65, 12,325.84 and 8,119.02

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Solution

The fourth proportional to 8,266.65, 12,325.84 and 8,119.02 is: 12,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.65 : 12,325.84 = 8,119.02 : x
  2. Step 2: Convert to fraction form
    8,266.65/12,325.84 = 8,119.02/x
  3. Step 3: Cross multiply
    8,266.65x = 12,325.84 × 8,119.02
  4. Step 4: Simplify right side
    8,266.65x = 100,073,741.48
  5. Step 5: Solve for x
    x = 100,073,741.48/8,266.65
  6. Step 6: Final answer
    x = 12,105.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.