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Finding the Fourth Proportional to 11,131.68, 16,697.36 and 4,471.12

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Solution

The fourth proportional to 11,131.68, 16,697.36 and 4,471.12 is: 6,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.68 : 16,697.36 = 4,471.12 : x
  2. Step 2: Convert to fraction form
    11,131.68/16,697.36 = 4,471.12/x
  3. Step 3: Cross multiply
    11,131.68x = 16,697.36 × 4,471.12
  4. Step 4: Simplify right side
    11,131.68x = 74,655,900.24
  5. Step 5: Solve for x
    x = 74,655,900.24/11,131.68
  6. Step 6: Final answer
    x = 6,706.62

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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.