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Finding the Fourth Proportional to 8,082.60, 12,116.12 and 2,532.06

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Solution

The fourth proportional to 8,082.60, 12,116.12 and 2,532.06 is: 3,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.60 : 12,116.12 = 2,532.06 : x
  2. Step 2: Convert to fraction form
    8,082.60/12,116.12 = 2,532.06/x
  3. Step 3: Cross multiply
    8,082.60x = 12,116.12 × 2,532.06
  4. Step 4: Simplify right side
    8,082.60x = 30,678,742.81
  5. Step 5: Solve for x
    x = 30,678,742.81/8,082.60
  6. Step 6: Final answer
    x = 3,795.65

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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.