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Finding the Fourth Proportional to 10,522.80, 14,521.68 and 6,046.80

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Solution

The fourth proportional to 10,522.80, 14,521.68 and 6,046.80 is: 8,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.80 : 14,521.68 = 6,046.80 : x
  2. Step 2: Convert to fraction form
    10,522.80/14,521.68 = 6,046.80/x
  3. Step 3: Cross multiply
    10,522.80x = 14,521.68 × 6,046.80
  4. Step 4: Simplify right side
    10,522.80x = 87,809,694.62
  5. Step 5: Solve for x
    x = 87,809,694.62/10,522.80
  6. Step 6: Final answer
    x = 8,344.71

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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.