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Finding the Fourth Proportional to 7,002.28, 10,507.74 and 3,884.68

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Solution

The fourth proportional to 7,002.28, 10,507.74 and 3,884.68 is: 5,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.28 : 10,507.74 = 3,884.68 : x
  2. Step 2: Convert to fraction form
    7,002.28/10,507.74 = 3,884.68/x
  3. Step 3: Cross multiply
    7,002.28x = 10,507.74 × 3,884.68
  4. Step 4: Simplify right side
    7,002.28x = 40,819,207.42
  5. Step 5: Solve for x
    x = 40,819,207.42/7,002.28
  6. Step 6: Final answer
    x = 5,829.42

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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.