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Finding the Fourth Proportional to 8,001.60, 12,002.40 and 2,158.22

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Solution

The fourth proportional to 8,001.60, 12,002.40 and 2,158.22 is: 3,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.60 : 12,002.40 = 2,158.22 : x
  2. Step 2: Convert to fraction form
    8,001.60/12,002.40 = 2,158.22/x
  3. Step 3: Cross multiply
    8,001.60x = 12,002.40 × 2,158.22
  4. Step 4: Simplify right side
    8,001.60x = 25,903,759.72
  5. Step 5: Solve for x
    x = 25,903,759.72/8,001.60
  6. Step 6: Final answer
    x = 3,237.32

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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.