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Finding the Fourth Proportional to 8,408.94, 12,582.26 and 5,263.89

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Solution

The fourth proportional to 8,408.94, 12,582.26 and 5,263.89 is: 7,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.94 : 12,582.26 = 5,263.89 : x
  2. Step 2: Convert to fraction form
    8,408.94/12,582.26 = 5,263.89/x
  3. Step 3: Cross multiply
    8,408.94x = 12,582.26 × 5,263.89
  4. Step 4: Simplify right side
    8,408.94x = 66,231,632.59
  5. Step 5: Solve for x
    x = 66,231,632.59/8,408.94
  6. Step 6: Final answer
    x = 7,876.34

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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.