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Finding the Fourth Proportional to 10,865.39, 16,297.27 and 3,470.63

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Solution

The fourth proportional to 10,865.39, 16,297.27 and 3,470.63 is: 5,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.39 : 16,297.27 = 3,470.63 : x
  2. Step 2: Convert to fraction form
    10,865.39/16,297.27 = 3,470.63/x
  3. Step 3: Cross multiply
    10,865.39x = 16,297.27 × 3,470.63
  4. Step 4: Simplify right side
    10,865.39x = 56,561,704.02
  5. Step 5: Solve for x
    x = 56,561,704.02/10,865.39
  6. Step 6: Final answer
    x = 5,205.68

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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.