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Finding the Fourth Proportional to 8,002.66, 12,004.04 and 5,246.78

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Solution

The fourth proportional to 8,002.66, 12,004.04 and 5,246.78 is: 7,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.66 : 12,004.04 = 5,246.78 : x
  2. Step 2: Convert to fraction form
    8,002.66/12,004.04 = 5,246.78/x
  3. Step 3: Cross multiply
    8,002.66x = 12,004.04 × 5,246.78
  4. Step 4: Simplify right side
    8,002.66x = 62,982,556.99
  5. Step 5: Solve for x
    x = 62,982,556.99/8,002.66
  6. Step 6: Final answer
    x = 7,870.20

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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.