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Finding the Fourth Proportional to 7,881.91, 10,877.50 and 4,524.73

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Solution

The fourth proportional to 7,881.91, 10,877.50 and 4,524.73 is: 6,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.91 : 10,877.50 = 4,524.73 : x
  2. Step 2: Convert to fraction form
    7,881.91/10,877.50 = 4,524.73/x
  3. Step 3: Cross multiply
    7,881.91x = 10,877.50 × 4,524.73
  4. Step 4: Simplify right side
    7,881.91x = 49,217,750.58
  5. Step 5: Solve for x
    x = 49,217,750.58/7,881.91
  6. Step 6: Final answer
    x = 6,244.39

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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.