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Finding the Fourth Proportional to 10,967.82, 15,136.83 and 7,609.74

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Solution

The fourth proportional to 10,967.82, 15,136.83 and 7,609.74 is: 10,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.82 : 15,136.83 = 7,609.74 : x
  2. Step 2: Convert to fraction form
    10,967.82/15,136.83 = 7,609.74/x
  3. Step 3: Cross multiply
    10,967.82x = 15,136.83 × 7,609.74
  4. Step 4: Simplify right side
    10,967.82x = 115,187,340.72
  5. Step 5: Solve for x
    x = 115,187,340.72/10,967.82
  6. Step 6: Final answer
    x = 10,502.30

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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.