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Finding the Fourth Proportional to 10,912, 16,374.56 and 3,987.20

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Solution

The fourth proportional to 10,912, 16,374.56 and 3,987.20 is: 5,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912 : 16,374.56 = 3,987.20 : x
  2. Step 2: Convert to fraction form
    10,912/16,374.56 = 3,987.20/x
  3. Step 3: Cross multiply
    10,912x = 16,374.56 × 3,987.20
  4. Step 4: Simplify right side
    10,912x = 65,288,645.63
  5. Step 5: Solve for x
    x = 65,288,645.63/10,912
  6. Step 6: Final answer
    x = 5,983.20

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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.