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Finding the Fourth Proportional to 8,000.49, 12,002.96 and 2,454.01

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Solution

The fourth proportional to 8,000.49, 12,002.96 and 2,454.01 is: 3,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.49 : 12,002.96 = 2,454.01 : x
  2. Step 2: Convert to fraction form
    8,000.49/12,002.96 = 2,454.01/x
  3. Step 3: Cross multiply
    8,000.49x = 12,002.96 × 2,454.01
  4. Step 4: Simplify right side
    8,000.49x = 29,455,383.87
  5. Step 5: Solve for x
    x = 29,455,383.87/8,000.49
  6. Step 6: Final answer
    x = 3,681.70

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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.