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Finding the Fourth Proportional to 8,082.64, 12,124.72 and 3,152.68

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Solution

The fourth proportional to 8,082.64, 12,124.72 and 3,152.68 is: 4,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.64 : 12,124.72 = 3,152.68 : x
  2. Step 2: Convert to fraction form
    8,082.64/12,124.72 = 3,152.68/x
  3. Step 3: Cross multiply
    8,082.64x = 12,124.72 × 3,152.68
  4. Step 4: Simplify right side
    8,082.64x = 38,225,362.25
  5. Step 5: Solve for x
    x = 38,225,362.25/8,082.64
  6. Step 6: Final answer
    x = 4,729.32

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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.