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Finding the Fourth Proportional to 7,024.57, 10,534.17 and 2,343.70

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Solution

The fourth proportional to 7,024.57, 10,534.17 and 2,343.70 is: 3,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.57 : 10,534.17 = 2,343.70 : x
  2. Step 2: Convert to fraction form
    7,024.57/10,534.17 = 2,343.70/x
  3. Step 3: Cross multiply
    7,024.57x = 10,534.17 × 2,343.70
  4. Step 4: Simplify right side
    7,024.57x = 24,688,934.23
  5. Step 5: Solve for x
    x = 24,688,934.23/7,024.57
  6. Step 6: Final answer
    x = 3,514.65

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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.