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Finding the Fourth Proportional to 10,729.97, 14,807.36 and 6,538.22

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Solution

The fourth proportional to 10,729.97, 14,807.36 and 6,538.22 is: 9,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.97 : 14,807.36 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    10,729.97/14,807.36 = 6,538.22/x
  3. Step 3: Cross multiply
    10,729.97x = 14,807.36 × 6,538.22
  4. Step 4: Simplify right side
    10,729.97x = 96,813,738.36
  5. Step 5: Solve for x
    x = 96,813,738.36/10,729.97
  6. Step 6: Final answer
    x = 9,022.74

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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.