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Finding the Fourth Proportional to 8,393.24, 11,582.22 and 4,667

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Solution

The fourth proportional to 8,393.24, 11,582.22 and 4,667 is: 6,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.24 : 11,582.22 = 4,667 : x
  2. Step 2: Convert to fraction form
    8,393.24/11,582.22 = 4,667/x
  3. Step 3: Cross multiply
    8,393.24x = 11,582.22 × 4,667
  4. Step 4: Simplify right side
    8,393.24x = 54,054,220.74
  5. Step 5: Solve for x
    x = 54,054,220.74/8,393.24
  6. Step 6: Final answer
    x = 6,440.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.