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Finding the Fourth Proportional to 7,255.35, 10,876.74 and 4,327.50

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Solution

The fourth proportional to 7,255.35, 10,876.74 and 4,327.50 is: 6,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.35 : 10,876.74 = 4,327.50 : x
  2. Step 2: Convert to fraction form
    7,255.35/10,876.74 = 4,327.50/x
  3. Step 3: Cross multiply
    7,255.35x = 10,876.74 × 4,327.50
  4. Step 4: Simplify right side
    7,255.35x = 47,069,092.35
  5. Step 5: Solve for x
    x = 47,069,092.35/7,255.35
  6. Step 6: Final answer
    x = 6,487.50

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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.