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Finding the Fourth Proportional to 8,800, 12,144 and 5,263.36

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Solution

The fourth proportional to 8,800, 12,144 and 5,263.36 is: 7,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800 : 12,144 = 5,263.36 : x
  2. Step 2: Convert to fraction form
    8,800/12,144 = 5,263.36/x
  3. Step 3: Cross multiply
    8,800x = 12,144 × 5,263.36
  4. Step 4: Simplify right side
    8,800x = 63,918,243.84
  5. Step 5: Solve for x
    x = 63,918,243.84/8,800
  6. Step 6: Final answer
    x = 7,263.44

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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.