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Finding the Fourth Proportional to 7,711.54, 10,633.04 and 5,697.86

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Solution

The fourth proportional to 7,711.54, 10,633.04 and 5,697.86 is: 7,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.54 : 10,633.04 = 5,697.86 : x
  2. Step 2: Convert to fraction form
    7,711.54/10,633.04 = 5,697.86/x
  3. Step 3: Cross multiply
    7,711.54x = 10,633.04 × 5,697.86
  4. Step 4: Simplify right side
    7,711.54x = 60,585,573.29
  5. Step 5: Solve for x
    x = 60,585,573.29/7,711.54
  6. Step 6: Final answer
    x = 7,856.48

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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.