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Finding the Fourth Proportional to 11,700.90, 16,114.41 and 10,950.44

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Solution

The fourth proportional to 11,700.90, 16,114.41 and 10,950.44 is: 15,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.90 : 16,114.41 = 10,950.44 : x
  2. Step 2: Convert to fraction form
    11,700.90/16,114.41 = 10,950.44/x
  3. Step 3: Cross multiply
    11,700.90x = 16,114.41 × 10,950.44
  4. Step 4: Simplify right side
    11,700.90x = 176,459,799.27
  5. Step 5: Solve for x
    x = 176,459,799.27/11,700.90
  6. Step 6: Final answer
    x = 15,080.87

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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.