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Finding the Fourth Proportional to 7,524.78, 10,381.95 and 4,867.98

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Solution

The fourth proportional to 7,524.78, 10,381.95 and 4,867.98 is: 6,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.78 : 10,381.95 = 4,867.98 : x
  2. Step 2: Convert to fraction form
    7,524.78/10,381.95 = 4,867.98/x
  3. Step 3: Cross multiply
    7,524.78x = 10,381.95 × 4,867.98
  4. Step 4: Simplify right side
    7,524.78x = 50,539,124.96
  5. Step 5: Solve for x
    x = 50,539,124.96/7,524.78
  6. Step 6: Final answer
    x = 6,716.36

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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.