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Finding the Fourth Proportional to 8,395.98, 12,594.67 and 2,552.64

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Solution

The fourth proportional to 8,395.98, 12,594.67 and 2,552.64 is: 3,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.98 : 12,594.67 = 2,552.64 : x
  2. Step 2: Convert to fraction form
    8,395.98/12,594.67 = 2,552.64/x
  3. Step 3: Cross multiply
    8,395.98x = 12,594.67 × 2,552.64
  4. Step 4: Simplify right side
    8,395.98x = 32,149,589.07
  5. Step 5: Solve for x
    x = 32,149,589.07/8,395.98
  6. Step 6: Final answer
    x = 3,829.17

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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.