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Finding the Fourth Proportional to 10,937.26, 15,106.01 and 7,966.38

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Solution

The fourth proportional to 10,937.26, 15,106.01 and 7,966.38 is: 11,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.26 : 15,106.01 = 7,966.38 : x
  2. Step 2: Convert to fraction form
    10,937.26/15,106.01 = 7,966.38/x
  3. Step 3: Cross multiply
    10,937.26x = 15,106.01 × 7,966.38
  4. Step 4: Simplify right side
    10,937.26x = 120,340,215.94
  5. Step 5: Solve for x
    x = 120,340,215.94/10,937.26
  6. Step 6: Final answer
    x = 11,002.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.