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Finding the Fourth Proportional to 10,007.69, 13,810.23 and 5,531.49

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Solution

The fourth proportional to 10,007.69, 13,810.23 and 5,531.49 is: 7,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.69 : 13,810.23 = 5,531.49 : x
  2. Step 2: Convert to fraction form
    10,007.69/13,810.23 = 5,531.49/x
  3. Step 3: Cross multiply
    10,007.69x = 13,810.23 × 5,531.49
  4. Step 4: Simplify right side
    10,007.69x = 76,391,149.14
  5. Step 5: Solve for x
    x = 76,391,149.14/10,007.69
  6. Step 6: Final answer
    x = 7,633.25

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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.