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Finding the Fourth Proportional to 10,633.82, 15,952.02 and 3,614.98

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Solution

The fourth proportional to 10,633.82, 15,952.02 and 3,614.98 is: 5,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.82 : 15,952.02 = 3,614.98 : x
  2. Step 2: Convert to fraction form
    10,633.82/15,952.02 = 3,614.98/x
  3. Step 3: Cross multiply
    10,633.82x = 15,952.02 × 3,614.98
  4. Step 4: Simplify right side
    10,633.82x = 57,666,233.26
  5. Step 5: Solve for x
    x = 57,666,233.26/10,633.82
  6. Step 6: Final answer
    x = 5,422.91

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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.