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Finding the Fourth Proportional to 10,540.38, 14,520.98 and 7,347.87

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Solution

The fourth proportional to 10,540.38, 14,520.98 and 7,347.87 is: 10,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.38 : 14,520.98 = 7,347.87 : x
  2. Step 2: Convert to fraction form
    10,540.38/14,520.98 = 7,347.87/x
  3. Step 3: Cross multiply
    10,540.38x = 14,520.98 × 7,347.87
  4. Step 4: Simplify right side
    10,540.38x = 106,698,273.31
  5. Step 5: Solve for x
    x = 106,698,273.31/10,540.38
  6. Step 6: Final answer
    x = 10,122.81

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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.