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Finding the Fourth Proportional to 6,785.92, 10,225.10 and 5,580.33

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Solution

The fourth proportional to 6,785.92, 10,225.10 and 5,580.33 is: 8,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.92 : 10,225.10 = 5,580.33 : x
  2. Step 2: Convert to fraction form
    6,785.92/10,225.10 = 5,580.33/x
  3. Step 3: Cross multiply
    6,785.92x = 10,225.10 × 5,580.33
  4. Step 4: Simplify right side
    6,785.92x = 57,059,432.28
  5. Step 5: Solve for x
    x = 57,059,432.28/6,785.92
  6. Step 6: Final answer
    x = 8,408.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.