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Finding the Fourth Proportional to 10,007.97, 13,810.29 and 5,531.37

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Solution

The fourth proportional to 10,007.97, 13,810.29 and 5,531.37 is: 7,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.97 : 13,810.29 = 5,531.37 : x
  2. Step 2: Convert to fraction form
    10,007.97/13,810.29 = 5,531.37/x
  3. Step 3: Cross multiply
    10,007.97x = 13,810.29 × 5,531.37
  4. Step 4: Simplify right side
    10,007.97x = 76,389,823.80
  5. Step 5: Solve for x
    x = 76,389,823.80/10,007.97
  6. Step 6: Final answer
    x = 7,632.90

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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.