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Finding the Fourth Proportional to 8,339.72, 12,509.55 and 2,496.33

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Solution

The fourth proportional to 8,339.72, 12,509.55 and 2,496.33 is: 3,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.72 : 12,509.55 = 2,496.33 : x
  2. Step 2: Convert to fraction form
    8,339.72/12,509.55 = 2,496.33/x
  3. Step 3: Cross multiply
    8,339.72x = 12,509.55 × 2,496.33
  4. Step 4: Simplify right side
    8,339.72x = 31,227,964.95
  5. Step 5: Solve for x
    x = 31,227,964.95/8,339.72
  6. Step 6: Final answer
    x = 3,744.49

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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.