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Finding the Fourth Proportional to 8,071.95, 12,105.57 and 3,140.42

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Solution

The fourth proportional to 8,071.95, 12,105.57 and 3,140.42 is: 4,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.95 : 12,105.57 = 3,140.42 : x
  2. Step 2: Convert to fraction form
    8,071.95/12,105.57 = 3,140.42/x
  3. Step 3: Cross multiply
    8,071.95x = 12,105.57 × 3,140.42
  4. Step 4: Simplify right side
    8,071.95x = 38,016,574.14
  5. Step 5: Solve for x
    x = 38,016,574.14/8,071.95
  6. Step 6: Final answer
    x = 4,709.71

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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.