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Finding the Fourth Proportional to 10,007.44, 13,809.85 and 5,531.38

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Solution

The fourth proportional to 10,007.44, 13,809.85 and 5,531.38 is: 7,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.44 : 13,809.85 = 5,531.38 : x
  2. Step 2: Convert to fraction form
    10,007.44/13,809.85 = 5,531.38/x
  3. Step 3: Cross multiply
    10,007.44x = 13,809.85 × 5,531.38
  4. Step 4: Simplify right side
    10,007.44x = 76,387,528.09
  5. Step 5: Solve for x
    x = 76,387,528.09/10,007.44
  6. Step 6: Final answer
    x = 7,633.07

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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.