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Finding the Fourth Proportional to 10,522.44, 15,772.98 and 6,827.02

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Solution

The fourth proportional to 10,522.44, 15,772.98 and 6,827.02 is: 10,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.44 : 15,772.98 = 6,827.02 : x
  2. Step 2: Convert to fraction form
    10,522.44/15,772.98 = 6,827.02/x
  3. Step 3: Cross multiply
    10,522.44x = 15,772.98 × 6,827.02
  4. Step 4: Simplify right side
    10,522.44x = 107,682,449.92
  5. Step 5: Solve for x
    x = 107,682,449.92/10,522.44
  6. Step 6: Final answer
    x = 10,233.60

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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.