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Finding the Fourth Proportional to 8,578.20, 11,827.57 and 6,664.58

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Solution

The fourth proportional to 8,578.20, 11,827.57 and 6,664.58 is: 9,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.20 : 11,827.57 = 6,664.58 : x
  2. Step 2: Convert to fraction form
    8,578.20/11,827.57 = 6,664.58/x
  3. Step 3: Cross multiply
    8,578.20x = 11,827.57 × 6,664.58
  4. Step 4: Simplify right side
    8,578.20x = 78,825,767.52
  5. Step 5: Solve for x
    x = 78,825,767.52/8,578.20
  6. Step 6: Final answer
    x = 9,189.08

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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.