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Finding the Fourth Proportional to 8,082.40, 12,123.60 and 3,155.50

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Solution

The fourth proportional to 8,082.40, 12,123.60 and 3,155.50 is: 4,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.40 : 12,123.60 = 3,155.50 : x
  2. Step 2: Convert to fraction form
    8,082.40/12,123.60 = 3,155.50/x
  3. Step 3: Cross multiply
    8,082.40x = 12,123.60 × 3,155.50
  4. Step 4: Simplify right side
    8,082.40x = 38,256,019.80
  5. Step 5: Solve for x
    x = 38,256,019.80/8,082.40
  6. Step 6: Final answer
    x = 4,733.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.