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Finding the Fourth Proportional to 8,187.86, 12,282.90 and 3,258.02

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Solution

The fourth proportional to 8,187.86, 12,282.90 and 3,258.02 is: 4,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.86 : 12,282.90 = 3,258.02 : x
  2. Step 2: Convert to fraction form
    8,187.86/12,282.90 = 3,258.02/x
  3. Step 3: Cross multiply
    8,187.86x = 12,282.90 × 3,258.02
  4. Step 4: Simplify right side
    8,187.86x = 40,017,933.86
  5. Step 5: Solve for x
    x = 40,017,933.86/8,187.86
  6. Step 6: Final answer
    x = 4,887.47

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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.