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Finding the Fourth Proportional to 10,517.70, 15,779.86 and 3,122.20

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Solution

The fourth proportional to 10,517.70, 15,779.86 and 3,122.20 is: 4,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.70 : 15,779.86 = 3,122.20 : x
  2. Step 2: Convert to fraction form
    10,517.70/15,779.86 = 3,122.20/x
  3. Step 3: Cross multiply
    10,517.70x = 15,779.86 × 3,122.20
  4. Step 4: Simplify right side
    10,517.70x = 49,267,878.89
  5. Step 5: Solve for x
    x = 49,267,878.89/10,517.70
  6. Step 6: Final answer
    x = 4,684.28

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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.