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Finding the Fourth Proportional to 10,205.49, 15,301.04 and 3,960.30

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Solution

The fourth proportional to 10,205.49, 15,301.04 and 3,960.30 is: 5,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.49 : 15,301.04 = 3,960.30 : x
  2. Step 2: Convert to fraction form
    10,205.49/15,301.04 = 3,960.30/x
  3. Step 3: Cross multiply
    10,205.49x = 15,301.04 × 3,960.30
  4. Step 4: Simplify right side
    10,205.49x = 60,596,688.91
  5. Step 5: Solve for x
    x = 60,596,688.91/10,205.49
  6. Step 6: Final answer
    x = 5,937.66

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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.