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Finding the Fourth Proportional to 8,377.50, 12,557.49 and 2,828.94

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Solution

The fourth proportional to 8,377.50, 12,557.49 and 2,828.94 is: 4,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.50 : 12,557.49 = 2,828.94 : x
  2. Step 2: Convert to fraction form
    8,377.50/12,557.49 = 2,828.94/x
  3. Step 3: Cross multiply
    8,377.50x = 12,557.49 × 2,828.94
  4. Step 4: Simplify right side
    8,377.50x = 35,524,385.76
  5. Step 5: Solve for x
    x = 35,524,385.76/8,377.50
  6. Step 6: Final answer
    x = 4,240.45

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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.