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Finding the Fourth Proportional to 10,171.62, 15,242.85 and 5,779.80

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Solution

The fourth proportional to 10,171.62, 15,242.85 and 5,779.80 is: 8,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.62 : 15,242.85 = 5,779.80 : x
  2. Step 2: Convert to fraction form
    10,171.62/15,242.85 = 5,779.80/x
  3. Step 3: Cross multiply
    10,171.62x = 15,242.85 × 5,779.80
  4. Step 4: Simplify right side
    10,171.62x = 88,100,624.43
  5. Step 5: Solve for x
    x = 88,100,624.43/10,171.62
  6. Step 6: Final answer
    x = 8,661.42

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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.