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Finding the Fourth Proportional to 8,352.33, 12,524.77 and 2,509.39

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Solution

The fourth proportional to 8,352.33, 12,524.77 and 2,509.39 is: 3,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.33 : 12,524.77 = 2,509.39 : x
  2. Step 2: Convert to fraction form
    8,352.33/12,524.77 = 2,509.39/x
  3. Step 3: Cross multiply
    8,352.33x = 12,524.77 × 2,509.39
  4. Step 4: Simplify right side
    8,352.33x = 31,429,532.59
  5. Step 5: Solve for x
    x = 31,429,532.59/8,352.33
  6. Step 6: Final answer
    x = 3,762.97

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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.