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Finding the Fourth Proportional to 8,329.37, 11,494.51 and 4,552.57

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Solution

The fourth proportional to 8,329.37, 11,494.51 and 4,552.57 is: 6,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.37 : 11,494.51 = 4,552.57 : x
  2. Step 2: Convert to fraction form
    8,329.37/11,494.51 = 4,552.57/x
  3. Step 3: Cross multiply
    8,329.37x = 11,494.51 × 4,552.57
  4. Step 4: Simplify right side
    8,329.37x = 52,329,561.39
  5. Step 5: Solve for x
    x = 52,329,561.39/8,329.37
  6. Step 6: Final answer
    x = 6,282.54

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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.