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Finding the Fourth Proportional to 10,522.44, 14,520.92 and 5,806.71

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Solution

The fourth proportional to 10,522.44, 14,520.92 and 5,806.71 is: 8,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.44 : 14,520.92 = 5,806.71 : x
  2. Step 2: Convert to fraction form
    10,522.44/14,520.92 = 5,806.71/x
  3. Step 3: Cross multiply
    10,522.44x = 14,520.92 × 5,806.71
  4. Step 4: Simplify right side
    10,522.44x = 84,318,742.34
  5. Step 5: Solve for x
    x = 84,318,742.34/10,522.44
  6. Step 6: Final answer
    x = 8,013.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.