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Finding the Fourth Proportional to 8,071.71, 12,105.19 and 3,140.17

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Solution

The fourth proportional to 8,071.71, 12,105.19 and 3,140.17 is: 4,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.71 : 12,105.19 = 3,140.17 : x
  2. Step 2: Convert to fraction form
    8,071.71/12,105.19 = 3,140.17/x
  3. Step 3: Cross multiply
    8,071.71x = 12,105.19 × 3,140.17
  4. Step 4: Simplify right side
    8,071.71x = 38,012,354.48
  5. Step 5: Solve for x
    x = 38,012,354.48/8,071.71
  6. Step 6: Final answer
    x = 4,709.33

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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.