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Finding the Fourth Proportional to 8,823.52, 12,088.32 and 8,491.44

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Solution

The fourth proportional to 8,823.52, 12,088.32 and 8,491.44 is: 11,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.52 : 12,088.32 = 8,491.44 : x
  2. Step 2: Convert to fraction form
    8,823.52/12,088.32 = 8,491.44/x
  3. Step 3: Cross multiply
    8,823.52x = 12,088.32 × 8,491.44
  4. Step 4: Simplify right side
    8,823.52x = 102,647,243.98
  5. Step 5: Solve for x
    x = 102,647,243.98/8,823.52
  6. Step 6: Final answer
    x = 11,633.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.