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Finding the Fourth Proportional to 8,071.32, 12,107.67 and 2,227.93

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Solution

The fourth proportional to 8,071.32, 12,107.67 and 2,227.93 is: 3,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.32 : 12,107.67 = 2,227.93 : x
  2. Step 2: Convert to fraction form
    8,071.32/12,107.67 = 2,227.93/x
  3. Step 3: Cross multiply
    8,071.32x = 12,107.67 × 2,227.93
  4. Step 4: Simplify right side
    8,071.32x = 26,974,975.11
  5. Step 5: Solve for x
    x = 26,974,975.11/8,071.32
  6. Step 6: Final answer
    x = 3,342.08

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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.