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Finding the Fourth Proportional to 10,908.36, 16,356.78 and 4,749

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Solution

The fourth proportional to 10,908.36, 16,356.78 and 4,749 is: 7,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.36 : 16,356.78 = 4,749 : x
  2. Step 2: Convert to fraction form
    10,908.36/16,356.78 = 4,749/x
  3. Step 3: Cross multiply
    10,908.36x = 16,356.78 × 4,749
  4. Step 4: Simplify right side
    10,908.36x = 77,678,348.22
  5. Step 5: Solve for x
    x = 77,678,348.22/10,908.36
  6. Step 6: Final answer
    x = 7,120.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.