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Finding the Fourth Proportional to 7,453.14, 10,287 and 5,834.88

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Solution

The fourth proportional to 7,453.14, 10,287 and 5,834.88 is: 8,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.14 : 10,287 = 5,834.88 : x
  2. Step 2: Convert to fraction form
    7,453.14/10,287 = 5,834.88/x
  3. Step 3: Cross multiply
    7,453.14x = 10,287 × 5,834.88
  4. Step 4: Simplify right side
    7,453.14x = 60,023,410.56
  5. Step 5: Solve for x
    x = 60,023,410.56/7,453.14
  6. Step 6: Final answer
    x = 8,053.44

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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.