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Finding the Fourth Proportional to 8,769, 12,101.94 and 4,993.41

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Solution

The fourth proportional to 8,769, 12,101.94 and 4,993.41 is: 6,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769 : 12,101.94 = 4,993.41 : x
  2. Step 2: Convert to fraction form
    8,769/12,101.94 = 4,993.41/x
  3. Step 3: Cross multiply
    8,769x = 12,101.94 × 4,993.41
  4. Step 4: Simplify right side
    8,769x = 60,429,948.22
  5. Step 5: Solve for x
    x = 60,429,948.22/8,769
  6. Step 6: Final answer
    x = 6,891.32

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Why These Related Problems?

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