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Finding the Fourth Proportional to 6,901.81, 10,357.07 and 3,617.26

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Solution

The fourth proportional to 6,901.81, 10,357.07 and 3,617.26 is: 5,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.81 : 10,357.07 = 3,617.26 : x
  2. Step 2: Convert to fraction form
    6,901.81/10,357.07 = 3,617.26/x
  3. Step 3: Cross multiply
    6,901.81x = 10,357.07 × 3,617.26
  4. Step 4: Simplify right side
    6,901.81x = 37,464,171.05
  5. Step 5: Solve for x
    x = 37,464,171.05/6,901.81
  6. Step 6: Final answer
    x = 5,428.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.