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Finding the Fourth Proportional to 7,132.82, 10,700.19 and 2,514.74

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Solution

The fourth proportional to 7,132.82, 10,700.19 and 2,514.74 is: 3,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.82 : 10,700.19 = 2,514.74 : x
  2. Step 2: Convert to fraction form
    7,132.82/10,700.19 = 2,514.74/x
  3. Step 3: Cross multiply
    7,132.82x = 10,700.19 × 2,514.74
  4. Step 4: Simplify right side
    7,132.82x = 26,908,195.80
  5. Step 5: Solve for x
    x = 26,908,195.80/7,132.82
  6. Step 6: Final answer
    x = 3,772.45

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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.