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Finding the Fourth Proportional to 7,116.69, 10,675.05 and 1,922.57

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Solution

The fourth proportional to 7,116.69, 10,675.05 and 1,922.57 is: 2,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.69 : 10,675.05 = 1,922.57 : x
  2. Step 2: Convert to fraction form
    7,116.69/10,675.05 = 1,922.57/x
  3. Step 3: Cross multiply
    7,116.69x = 10,675.05 × 1,922.57
  4. Step 4: Simplify right side
    7,116.69x = 20,523,530.88
  5. Step 5: Solve for x
    x = 20,523,530.88/7,116.69
  6. Step 6: Final answer
    x = 2,883.86

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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.