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Finding the Fourth Proportional to 10,250.96, 15,336.48 and 7,792.88

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Solution

The fourth proportional to 10,250.96, 15,336.48 and 7,792.88 is: 11,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.96 : 15,336.48 = 7,792.88 : x
  2. Step 2: Convert to fraction form
    10,250.96/15,336.48 = 7,792.88/x
  3. Step 3: Cross multiply
    10,250.96x = 15,336.48 × 7,792.88
  4. Step 4: Simplify right side
    10,250.96x = 119,515,348.26
  5. Step 5: Solve for x
    x = 119,515,348.26/10,250.96
  6. Step 6: Final answer
    x = 11,658.94

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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.