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Finding the Fourth Proportional to 11,175.60, 16,763.40 and 7,233.20

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Solution

The fourth proportional to 11,175.60, 16,763.40 and 7,233.20 is: 10,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.60 : 16,763.40 = 7,233.20 : x
  2. Step 2: Convert to fraction form
    11,175.60/16,763.40 = 7,233.20/x
  3. Step 3: Cross multiply
    11,175.60x = 16,763.40 × 7,233.20
  4. Step 4: Simplify right side
    11,175.60x = 121,253,024.88
  5. Step 5: Solve for x
    x = 121,253,024.88/11,175.60
  6. Step 6: Final answer
    x = 10,849.80

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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.