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Finding the Fourth Proportional to 10,578.22, 15,851.72 and 5,891.77

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Solution

The fourth proportional to 10,578.22, 15,851.72 and 5,891.77 is: 8,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.22 : 15,851.72 = 5,891.77 : x
  2. Step 2: Convert to fraction form
    10,578.22/15,851.72 = 5,891.77/x
  3. Step 3: Cross multiply
    10,578.22x = 15,851.72 × 5,891.77
  4. Step 4: Simplify right side
    10,578.22x = 93,394,663.44
  5. Step 5: Solve for x
    x = 93,394,663.44/10,578.22
  6. Step 6: Final answer
    x = 8,828.96

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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.