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Finding the Fourth Proportional to 7,610.20, 10,434.87 and 6,861.22

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Solution

The fourth proportional to 7,610.20, 10,434.87 and 6,861.22 is: 9,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.20 : 10,434.87 = 6,861.22 : x
  2. Step 2: Convert to fraction form
    7,610.20/10,434.87 = 6,861.22/x
  3. Step 3: Cross multiply
    7,610.20x = 10,434.87 × 6,861.22
  4. Step 4: Simplify right side
    7,610.20x = 71,595,938.74
  5. Step 5: Solve for x
    x = 71,595,938.74/7,610.20
  6. Step 6: Final answer
    x = 9,407.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.