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Finding the Fourth Proportional to 7,717.95, 10,650.78 and 4,181.13

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Solution

The fourth proportional to 7,717.95, 10,650.78 and 4,181.13 is: 5,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.95 : 10,650.78 = 4,181.13 : x
  2. Step 2: Convert to fraction form
    7,717.95/10,650.78 = 4,181.13/x
  3. Step 3: Cross multiply
    7,717.95x = 10,650.78 × 4,181.13
  4. Step 4: Simplify right side
    7,717.95x = 44,532,295.78
  5. Step 5: Solve for x
    x = 44,532,295.78/7,717.95
  6. Step 6: Final answer
    x = 5,769.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.