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Finding the Fourth Proportional to 10,965.78, 15,132.69 and 6,249.78

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Solution

The fourth proportional to 10,965.78, 15,132.69 and 6,249.78 is: 8,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.78 : 15,132.69 = 6,249.78 : x
  2. Step 2: Convert to fraction form
    10,965.78/15,132.69 = 6,249.78/x
  3. Step 3: Cross multiply
    10,965.78x = 15,132.69 × 6,249.78
  4. Step 4: Simplify right side
    10,965.78x = 94,575,983.31
  5. Step 5: Solve for x
    x = 94,575,983.31/10,965.78
  6. Step 6: Final answer
    x = 8,624.65

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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.