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Finding the Fourth Proportional to 7,514.72, 11,274.96 and 3,131

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Solution

The fourth proportional to 7,514.72, 11,274.96 and 3,131 is: 4,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.72 : 11,274.96 = 3,131 : x
  2. Step 2: Convert to fraction form
    7,514.72/11,274.96 = 3,131/x
  3. Step 3: Cross multiply
    7,514.72x = 11,274.96 × 3,131
  4. Step 4: Simplify right side
    7,514.72x = 35,301,899.76
  5. Step 5: Solve for x
    x = 35,301,899.76/7,514.72
  6. Step 6: Final answer
    x = 4,697.70

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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.