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Finding the Fourth Proportional to 10,826.38, 14,937.82 and 7,468.12

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Solution

The fourth proportional to 10,826.38, 14,937.82 and 7,468.12 is: 10,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.38 : 14,937.82 = 7,468.12 : x
  2. Step 2: Convert to fraction form
    10,826.38/14,937.82 = 7,468.12/x
  3. Step 3: Cross multiply
    10,826.38x = 14,937.82 × 7,468.12
  4. Step 4: Simplify right side
    10,826.38x = 111,557,432.30
  5. Step 5: Solve for x
    x = 111,557,432.30/10,826.38
  6. Step 6: Final answer
    x = 10,304.22

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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.