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Finding the Fourth Proportional to 10,294.50, 15,439.17 and 3,968.11

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Solution

The fourth proportional to 10,294.50, 15,439.17 and 3,968.11 is: 5,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.50 : 15,439.17 = 3,968.11 : x
  2. Step 2: Convert to fraction form
    10,294.50/15,439.17 = 3,968.11/x
  3. Step 3: Cross multiply
    10,294.50x = 15,439.17 × 3,968.11
  4. Step 4: Simplify right side
    10,294.50x = 61,264,373.39
  5. Step 5: Solve for x
    x = 61,264,373.39/10,294.50
  6. Step 6: Final answer
    x = 5,951.17

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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.