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Finding the Fourth Proportional to 8,118.71, 12,188.77 and 8,025.30

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Solution

The fourth proportional to 8,118.71, 12,188.77 and 8,025.30 is: 12,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.71 : 12,188.77 = 8,025.30 : x
  2. Step 2: Convert to fraction form
    8,118.71/12,188.77 = 8,025.30/x
  3. Step 3: Cross multiply
    8,118.71x = 12,188.77 × 8,025.30
  4. Step 4: Simplify right side
    8,118.71x = 97,818,561.53
  5. Step 5: Solve for x
    x = 97,818,561.53/8,118.71
  6. Step 6: Final answer
    x = 12,048.54

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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.