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Finding the Fourth Proportional to 10,007.97, 13,810.26 and 5,531.81

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Solution

The fourth proportional to 10,007.97, 13,810.26 and 5,531.81 is: 7,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.97 : 13,810.26 = 5,531.81 : x
  2. Step 2: Convert to fraction form
    10,007.97/13,810.26 = 5,531.81/x
  3. Step 3: Cross multiply
    10,007.97x = 13,810.26 × 5,531.81
  4. Step 4: Simplify right side
    10,007.97x = 76,395,686.06
  5. Step 5: Solve for x
    x = 76,395,686.06/10,007.97
  6. Step 6: Final answer
    x = 7,633.49

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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.