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Finding the Fourth Proportional to 6,668.30, 10,002.56 and 2,288.83

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Solution

The fourth proportional to 6,668.30, 10,002.56 and 2,288.83 is: 3,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.30 : 10,002.56 = 2,288.83 : x
  2. Step 2: Convert to fraction form
    6,668.30/10,002.56 = 2,288.83/x
  3. Step 3: Cross multiply
    6,668.30x = 10,002.56 × 2,288.83
  4. Step 4: Simplify right side
    6,668.30x = 22,894,189.15
  5. Step 5: Solve for x
    x = 22,894,189.15/6,668.30
  6. Step 6: Final answer
    x = 3,433.29

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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.