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Finding the Fourth Proportional to 6,861.16, 10,291.64 and 1,930.54

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Solution

The fourth proportional to 6,861.16, 10,291.64 and 1,930.54 is: 2,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.16 : 10,291.64 = 1,930.54 : x
  2. Step 2: Convert to fraction form
    6,861.16/10,291.64 = 1,930.54/x
  3. Step 3: Cross multiply
    6,861.16x = 10,291.64 × 1,930.54
  4. Step 4: Simplify right side
    6,861.16x = 19,868,422.69
  5. Step 5: Solve for x
    x = 19,868,422.69/6,861.16
  6. Step 6: Final answer
    x = 2,895.78

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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.