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Finding the Fourth Proportional to 10,196.96, 15,270.80 and 5,801.10

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Solution

The fourth proportional to 10,196.96, 15,270.80 and 5,801.10 is: 8,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.96 : 15,270.80 = 5,801.10 : x
  2. Step 2: Convert to fraction form
    10,196.96/15,270.80 = 5,801.10/x
  3. Step 3: Cross multiply
    10,196.96x = 15,270.80 × 5,801.10
  4. Step 4: Simplify right side
    10,196.96x = 88,587,437.88
  5. Step 5: Solve for x
    x = 88,587,437.88/10,196.96
  6. Step 6: Final answer
    x = 8,687.63

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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.