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Finding the Fourth Proportional to 7,514.48, 11,274.12 and 3,616.76

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Solution

The fourth proportional to 7,514.48, 11,274.12 and 3,616.76 is: 5,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.48 : 11,274.12 = 3,616.76 : x
  2. Step 2: Convert to fraction form
    7,514.48/11,274.12 = 3,616.76/x
  3. Step 3: Cross multiply
    7,514.48x = 11,274.12 × 3,616.76
  4. Step 4: Simplify right side
    7,514.48x = 40,775,786.25
  5. Step 5: Solve for x
    x = 40,775,786.25/7,514.48
  6. Step 6: Final answer
    x = 5,426.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.