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Finding the Fourth Proportional to 7,221.60, 10,832.40 and 4,149.60

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Solution

The fourth proportional to 7,221.60, 10,832.40 and 4,149.60 is: 6,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.60 : 10,832.40 = 4,149.60 : x
  2. Step 2: Convert to fraction form
    7,221.60/10,832.40 = 4,149.60/x
  3. Step 3: Cross multiply
    7,221.60x = 10,832.40 × 4,149.60
  4. Step 4: Simplify right side
    7,221.60x = 44,950,127.04
  5. Step 5: Solve for x
    x = 44,950,127.04/7,221.60
  6. Step 6: Final answer
    x = 6,224.40

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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.