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Finding the Fourth Proportional to 6,780.89, 9,363.09 and 5,363.39

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Solution

The fourth proportional to 6,780.89, 9,363.09 and 5,363.39 is: 7,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.89 : 9,363.09 = 5,363.39 : x
  2. Step 2: Convert to fraction form
    6,780.89/9,363.09 = 5,363.39/x
  3. Step 3: Cross multiply
    6,780.89x = 9,363.09 × 5,363.39
  4. Step 4: Simplify right side
    6,780.89x = 50,217,856.46
  5. Step 5: Solve for x
    x = 50,217,856.46/6,780.89
  6. Step 6: Final answer
    x = 7,405.80

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Why These Related Problems?

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