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Finding the Fourth Proportional to 8,002.77, 12,004.00 and 2,456.00

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Solution

The fourth proportional to 8,002.77, 12,004.00 and 2,456.00 is: 3,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.77 : 12,004.00 = 2,456.00 : x
  2. Step 2: Convert to fraction form
    8,002.77/12,004.00 = 2,456.00/x
  3. Step 3: Cross multiply
    8,002.77x = 12,004.00 × 2,456.00
  4. Step 4: Simplify right side
    8,002.77x = 29,481,751.70
  5. Step 5: Solve for x
    x = 29,481,751.70/8,002.77
  6. Step 6: Final answer
    x = 3,683.94

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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.