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Finding the Fourth Proportional to 8,256.84, 11,389.20 and 5,608.82

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Solution

The fourth proportional to 8,256.84, 11,389.20 and 5,608.82 is: 7,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.84 : 11,389.20 = 5,608.82 : x
  2. Step 2: Convert to fraction form
    8,256.84/11,389.20 = 5,608.82/x
  3. Step 3: Cross multiply
    8,256.84x = 11,389.20 × 5,608.82
  4. Step 4: Simplify right side
    8,256.84x = 63,879,972.74
  5. Step 5: Solve for x
    x = 63,879,972.74/8,256.84
  6. Step 6: Final answer
    x = 7,736.61

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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.