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Finding the Fourth Proportional to 8,877.83, 12,251.99 and 5,102.21

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Solution

The fourth proportional to 8,877.83, 12,251.99 and 5,102.21 is: 7,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.83 : 12,251.99 = 5,102.21 : x
  2. Step 2: Convert to fraction form
    8,877.83/12,251.99 = 5,102.21/x
  3. Step 3: Cross multiply
    8,877.83x = 12,251.99 × 5,102.21
  4. Step 4: Simplify right side
    8,877.83x = 62,512,269.28
  5. Step 5: Solve for x
    x = 62,512,269.28/8,877.83
  6. Step 6: Final answer
    x = 7,041.39

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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.