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Finding the Fourth Proportional to 10,701.62, 16,057.06 and 4,132.44

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Solution

The fourth proportional to 10,701.62, 16,057.06 and 4,132.44 is: 6,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.62 : 16,057.06 = 4,132.44 : x
  2. Step 2: Convert to fraction form
    10,701.62/16,057.06 = 4,132.44/x
  3. Step 3: Cross multiply
    10,701.62x = 16,057.06 × 4,132.44
  4. Step 4: Simplify right side
    10,701.62x = 66,354,837.03
  5. Step 5: Solve for x
    x = 66,354,837.03/10,701.62
  6. Step 6: Final answer
    x = 6,200.45

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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.