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Finding the Fourth Proportional to 10,082.80, 15,140.40 and 7,620.40

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Solution

The fourth proportional to 10,082.80, 15,140.40 and 7,620.40 is: 11,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.80 : 15,140.40 = 7,620.40 : x
  2. Step 2: Convert to fraction form
    10,082.80/15,140.40 = 7,620.40/x
  3. Step 3: Cross multiply
    10,082.80x = 15,140.40 × 7,620.40
  4. Step 4: Simplify right side
    10,082.80x = 115,375,904.16
  5. Step 5: Solve for x
    x = 115,375,904.16/10,082.80
  6. Step 6: Final answer
    x = 11,442.84

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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.