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Finding the Fourth Proportional to 8,322.15, 12,483.11 and 2,082.14

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Solution

The fourth proportional to 8,322.15, 12,483.11 and 2,082.14 is: 3,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.15 : 12,483.11 = 2,082.14 : x
  2. Step 2: Convert to fraction form
    8,322.15/12,483.11 = 2,082.14/x
  3. Step 3: Cross multiply
    8,322.15x = 12,483.11 × 2,082.14
  4. Step 4: Simplify right side
    8,322.15x = 25,991,572.26
  5. Step 5: Solve for x
    x = 25,991,572.26/8,322.15
  6. Step 6: Final answer
    x = 3,123.18

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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.