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Finding the Fourth Proportional to 8,159.86, 12,245.25 and 5,240.22

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Solution

The fourth proportional to 8,159.86, 12,245.25 and 5,240.22 is: 7,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.86 : 12,245.25 = 5,240.22 : x
  2. Step 2: Convert to fraction form
    8,159.86/12,245.25 = 5,240.22/x
  3. Step 3: Cross multiply
    8,159.86x = 12,245.25 × 5,240.22
  4. Step 4: Simplify right side
    8,159.86x = 64,167,803.96
  5. Step 5: Solve for x
    x = 64,167,803.96/8,159.86
  6. Step 6: Final answer
    x = 7,863.84

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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.