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Finding the Fourth Proportional to 8,329.43, 11,494.47 and 4,552.51

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Solution

The fourth proportional to 8,329.43, 11,494.47 and 4,552.51 is: 6,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.43 : 11,494.47 = 4,552.51 : x
  2. Step 2: Convert to fraction form
    8,329.43/11,494.47 = 4,552.51/x
  3. Step 3: Cross multiply
    8,329.43x = 11,494.47 × 4,552.51
  4. Step 4: Simplify right side
    8,329.43x = 52,328,689.62
  5. Step 5: Solve for x
    x = 52,328,689.62/8,329.43
  6. Step 6: Final answer
    x = 6,282.39

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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.