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Finding the Fourth Proportional to 10,522.46, 14,520.92 and 5,806.76

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Solution

The fourth proportional to 10,522.46, 14,520.92 and 5,806.76 is: 8,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.46 : 14,520.92 = 5,806.76 : x
  2. Step 2: Convert to fraction form
    10,522.46/14,520.92 = 5,806.76/x
  3. Step 3: Cross multiply
    10,522.46x = 14,520.92 × 5,806.76
  4. Step 4: Simplify right side
    10,522.46x = 84,319,395.78
  5. Step 5: Solve for x
    x = 84,319,395.78/10,522.46
  6. Step 6: Final answer
    x = 8,013.28

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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.