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Finding the Fourth Proportional to 8,001.40, 12,002.12 and 2,807.16

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Solution

The fourth proportional to 8,001.40, 12,002.12 and 2,807.16 is: 4,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.40 : 12,002.12 = 2,807.16 : x
  2. Step 2: Convert to fraction form
    8,001.40/12,002.12 = 2,807.16/x
  3. Step 3: Cross multiply
    8,001.40x = 12,002.12 × 2,807.16
  4. Step 4: Simplify right side
    8,001.40x = 33,691,871.18
  5. Step 5: Solve for x
    x = 33,691,871.18/8,001.40
  6. Step 6: Final answer
    x = 4,210.75

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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.