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Finding the Fourth Proportional to 10,524.68, 14,520.25 and 8,102.79

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Solution

The fourth proportional to 10,524.68, 14,520.25 and 8,102.79 is: 11,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.68 : 14,520.25 = 8,102.79 : x
  2. Step 2: Convert to fraction form
    10,524.68/14,520.25 = 8,102.79/x
  3. Step 3: Cross multiply
    10,524.68x = 14,520.25 × 8,102.79
  4. Step 4: Simplify right side
    10,524.68x = 117,654,443.64
  5. Step 5: Solve for x
    x = 117,654,443.64/10,524.68
  6. Step 6: Final answer
    x = 11,178.91

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