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Finding the Fourth Proportional to 8,178.86, 12,259.08 and 3,496.52

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Solution

The fourth proportional to 8,178.86, 12,259.08 and 3,496.52 is: 5,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.86 : 12,259.08 = 3,496.52 : x
  2. Step 2: Convert to fraction form
    8,178.86/12,259.08 = 3,496.52/x
  3. Step 3: Cross multiply
    8,178.86x = 12,259.08 × 3,496.52
  4. Step 4: Simplify right side
    8,178.86x = 42,864,057.11
  5. Step 5: Solve for x
    x = 42,864,057.11/8,178.86
  6. Step 6: Final answer
    x = 5,240.84

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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.