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Finding the Fourth Proportional to 10,012.62, 13,823.04 and 6,660

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Solution

The fourth proportional to 10,012.62, 13,823.04 and 6,660 is: 9,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.62 : 13,823.04 = 6,660 : x
  2. Step 2: Convert to fraction form
    10,012.62/13,823.04 = 6,660/x
  3. Step 3: Cross multiply
    10,012.62x = 13,823.04 × 6,660
  4. Step 4: Simplify right side
    10,012.62x = 92,061,446.40
  5. Step 5: Solve for x
    x = 92,061,446.40/10,012.62
  6. Step 6: Final answer
    x = 9,194.54

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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.