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Finding the Fourth Proportional to 10,824, 14,937.48 and 6,631.44

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Solution

The fourth proportional to 10,824, 14,937.48 and 6,631.44 is: 9,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824 : 14,937.48 = 6,631.44 : x
  2. Step 2: Convert to fraction form
    10,824/14,937.48 = 6,631.44/x
  3. Step 3: Cross multiply
    10,824x = 14,937.48 × 6,631.44
  4. Step 4: Simplify right side
    10,824x = 99,057,002.37
  5. Step 5: Solve for x
    x = 99,057,002.37/10,824
  6. Step 6: Final answer
    x = 9,151.61

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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.