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Finding the Fourth Proportional to 11,297.68, 15,591.29 and 7,514.78

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Solution

The fourth proportional to 11,297.68, 15,591.29 and 7,514.78 is: 10,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.68 : 15,591.29 = 7,514.78 : x
  2. Step 2: Convert to fraction form
    11,297.68/15,591.29 = 7,514.78/x
  3. Step 3: Cross multiply
    11,297.68x = 15,591.29 × 7,514.78
  4. Step 4: Simplify right side
    11,297.68x = 117,164,998.74
  5. Step 5: Solve for x
    x = 117,164,998.74/11,297.68
  6. Step 6: Final answer
    x = 10,370.72

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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.