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Finding the Fourth Proportional to 11,514.68, 15,910.80 and 9,003.20

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Solution

The fourth proportional to 11,514.68, 15,910.80 and 9,003.20 is: 12,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.68 : 15,910.80 = 9,003.20 : x
  2. Step 2: Convert to fraction form
    11,514.68/15,910.80 = 9,003.20/x
  3. Step 3: Cross multiply
    11,514.68x = 15,910.80 × 9,003.20
  4. Step 4: Simplify right side
    11,514.68x = 143,248,114.56
  5. Step 5: Solve for x
    x = 143,248,114.56/11,514.68
  6. Step 6: Final answer
    x = 12,440.48

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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.