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Finding the Fourth Proportional to 8,152.56, 12,209.40 and 4,449.24

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Solution

The fourth proportional to 8,152.56, 12,209.40 and 4,449.24 is: 6,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.56 : 12,209.40 = 4,449.24 : x
  2. Step 2: Convert to fraction form
    8,152.56/12,209.40 = 4,449.24/x
  3. Step 3: Cross multiply
    8,152.56x = 12,209.40 × 4,449.24
  4. Step 4: Simplify right side
    8,152.56x = 54,322,550.86
  5. Step 5: Solve for x
    x = 54,322,550.86/8,152.56
  6. Step 6: Final answer
    x = 6,663.25

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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.