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Finding the Fourth Proportional to 6,920.88, 10,321.74 and 5,887.44

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Solution

The fourth proportional to 6,920.88, 10,321.74 and 5,887.44 is: 8,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.88 : 10,321.74 = 5,887.44 : x
  2. Step 2: Convert to fraction form
    6,920.88/10,321.74 = 5,887.44/x
  3. Step 3: Cross multiply
    6,920.88x = 10,321.74 × 5,887.44
  4. Step 4: Simplify right side
    6,920.88x = 60,768,624.95
  5. Step 5: Solve for x
    x = 60,768,624.95/6,920.88
  6. Step 6: Final answer
    x = 8,780.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.