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Finding the Fourth Proportional to 10,013.96, 15,022.38 and 3,089

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Solution

The fourth proportional to 10,013.96, 15,022.38 and 3,089 is: 4,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.96 : 15,022.38 = 3,089 : x
  2. Step 2: Convert to fraction form
    10,013.96/15,022.38 = 3,089/x
  3. Step 3: Cross multiply
    10,013.96x = 15,022.38 × 3,089
  4. Step 4: Simplify right side
    10,013.96x = 46,404,131.82
  5. Step 5: Solve for x
    x = 46,404,131.82/10,013.96
  6. Step 6: Final answer
    x = 4,633.94

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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.