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Finding the Fourth Proportional to 8,524.86, 11,760.15 and 7,343.88

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Solution

The fourth proportional to 8,524.86, 11,760.15 and 7,343.88 is: 10,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.86 : 11,760.15 = 7,343.88 : x
  2. Step 2: Convert to fraction form
    8,524.86/11,760.15 = 7,343.88/x
  3. Step 3: Cross multiply
    8,524.86x = 11,760.15 × 7,343.88
  4. Step 4: Simplify right side
    8,524.86x = 86,365,130.38
  5. Step 5: Solve for x
    x = 86,365,130.38/8,524.86
  6. Step 6: Final answer
    x = 10,130.97

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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.