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Finding the Fourth Proportional to 10,126.11, 13,984.04 and 6,591.38

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Solution

The fourth proportional to 10,126.11, 13,984.04 and 6,591.38 is: 9,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.11 : 13,984.04 = 6,591.38 : x
  2. Step 2: Convert to fraction form
    10,126.11/13,984.04 = 6,591.38/x
  3. Step 3: Cross multiply
    10,126.11x = 13,984.04 × 6,591.38
  4. Step 4: Simplify right side
    10,126.11x = 92,174,068.13
  5. Step 5: Solve for x
    x = 92,174,068.13/10,126.11
  6. Step 6: Final answer
    x = 9,102.61

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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.