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Finding the Fourth Proportional to 10,697.68, 16,046.94 and 3,301.48

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Solution

The fourth proportional to 10,697.68, 16,046.94 and 3,301.48 is: 4,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.68 : 16,046.94 = 3,301.48 : x
  2. Step 2: Convert to fraction form
    10,697.68/16,046.94 = 3,301.48/x
  3. Step 3: Cross multiply
    10,697.68x = 16,046.94 × 3,301.48
  4. Step 4: Simplify right side
    10,697.68x = 52,978,651.47
  5. Step 5: Solve for x
    x = 52,978,651.47/10,697.68
  6. Step 6: Final answer
    x = 4,952.35

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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.