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Finding the Fourth Proportional to 8,111.76, 12,162.12 and 3,178.32

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Solution

The fourth proportional to 8,111.76, 12,162.12 and 3,178.32 is: 4,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.76 : 12,162.12 = 3,178.32 : x
  2. Step 2: Convert to fraction form
    8,111.76/12,162.12 = 3,178.32/x
  3. Step 3: Cross multiply
    8,111.76x = 12,162.12 × 3,178.32
  4. Step 4: Simplify right side
    8,111.76x = 38,655,109.24
  5. Step 5: Solve for x
    x = 38,655,109.24/8,111.76
  6. Step 6: Final answer
    x = 4,765.32

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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.