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Finding the Fourth Proportional to 6,911.79, 10,357.86 and 5,324.50

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Solution

The fourth proportional to 6,911.79, 10,357.86 and 5,324.50 is: 7,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.79 : 10,357.86 = 5,324.50 : x
  2. Step 2: Convert to fraction form
    6,911.79/10,357.86 = 5,324.50/x
  3. Step 3: Cross multiply
    6,911.79x = 10,357.86 × 5,324.50
  4. Step 4: Simplify right side
    6,911.79x = 55,150,425.57
  5. Step 5: Solve for x
    x = 55,150,425.57/6,911.79
  6. Step 6: Final answer
    x = 7,979.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.