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Finding the Fourth Proportional to 10,901.81, 16,351.16 and 3,506.91

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Solution

The fourth proportional to 10,901.81, 16,351.16 and 3,506.91 is: 5,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.81 : 16,351.16 = 3,506.91 : x
  2. Step 2: Convert to fraction form
    10,901.81/16,351.16 = 3,506.91/x
  3. Step 3: Cross multiply
    10,901.81x = 16,351.16 × 3,506.91
  4. Step 4: Simplify right side
    10,901.81x = 57,342,028.98
  5. Step 5: Solve for x
    x = 57,342,028.98/10,901.81
  6. Step 6: Final answer
    x = 5,259.87

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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.