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Finding the Fourth Proportional to 8,071.24, 12,103.72 and 3,140.24

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Solution

The fourth proportional to 8,071.24, 12,103.72 and 3,140.24 is: 4,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.24 : 12,103.72 = 3,140.24 : x
  2. Step 2: Convert to fraction form
    8,071.24/12,103.72 = 3,140.24/x
  3. Step 3: Cross multiply
    8,071.24x = 12,103.72 × 3,140.24
  4. Step 4: Simplify right side
    8,071.24x = 38,008,585.69
  5. Step 5: Solve for x
    x = 38,008,585.69/8,071.24
  6. Step 6: Final answer
    x = 4,709.14

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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.