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Finding the Fourth Proportional to 8,374.50, 12,552.99 and 2,825.94

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Solution

The fourth proportional to 8,374.50, 12,552.99 and 2,825.94 is: 4,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.50 : 12,552.99 = 2,825.94 : x
  2. Step 2: Convert to fraction form
    8,374.50/12,552.99 = 2,825.94/x
  3. Step 3: Cross multiply
    8,374.50x = 12,552.99 × 2,825.94
  4. Step 4: Simplify right side
    8,374.50x = 35,473,996.56
  5. Step 5: Solve for x
    x = 35,473,996.56/8,374.50
  6. Step 6: Final answer
    x = 4,235.95

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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.