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Finding the Fourth Proportional to 11,763, 16,115.53 and 11,320.20

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Solution

The fourth proportional to 11,763, 16,115.53 and 11,320.20 is: 15,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 16,115.53 = 11,320.20 : x
  2. Step 2: Convert to fraction form
    11,763/16,115.53 = 11,320.20/x
  3. Step 3: Cross multiply
    11,763x = 16,115.53 × 11,320.20
  4. Step 4: Simplify right side
    11,763x = 182,431,022.71
  5. Step 5: Solve for x
    x = 182,431,022.71/11,763
  6. Step 6: Final answer
    x = 15,508.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.