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Finding the Fourth Proportional to 7,254.86, 10,876 and 4,327

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Solution

The fourth proportional to 7,254.86, 10,876 and 4,327 is: 6,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.86 : 10,876 = 4,327 : x
  2. Step 2: Convert to fraction form
    7,254.86/10,876 = 4,327/x
  3. Step 3: Cross multiply
    7,254.86x = 10,876 × 4,327
  4. Step 4: Simplify right side
    7,254.86x = 47,060,452
  5. Step 5: Solve for x
    x = 47,060,452/7,254.86
  6. Step 6: Final answer
    x = 6,486.75

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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.