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Finding the Fourth Proportional to 10,082.88, 15,104.88 and 4,892.40

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Solution

The fourth proportional to 10,082.88, 15,104.88 and 4,892.40 is: 7,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.88 : 15,104.88 = 4,892.40 : x
  2. Step 2: Convert to fraction form
    10,082.88/15,104.88 = 4,892.40/x
  3. Step 3: Cross multiply
    10,082.88x = 15,104.88 × 4,892.40
  4. Step 4: Simplify right side
    10,082.88x = 73,899,114.91
  5. Step 5: Solve for x
    x = 73,899,114.91/10,082.88
  6. Step 6: Final answer
    x = 7,329.17

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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.