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Finding the Fourth Proportional to 7,002.14, 10,493.85 and 5,144.54

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Solution

The fourth proportional to 7,002.14, 10,493.85 and 5,144.54 is: 7,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.14 : 10,493.85 = 5,144.54 : x
  2. Step 2: Convert to fraction form
    7,002.14/10,493.85 = 5,144.54/x
  3. Step 3: Cross multiply
    7,002.14x = 10,493.85 × 5,144.54
  4. Step 4: Simplify right side
    7,002.14x = 53,986,031.08
  5. Step 5: Solve for x
    x = 53,986,031.08/7,002.14
  6. Step 6: Final answer
    x = 7,709.93

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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.