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Finding the Fourth Proportional to 8,665.38, 11,926.44 and 7,541.10

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Solution

The fourth proportional to 8,665.38, 11,926.44 and 7,541.10 is: 10,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.38 : 11,926.44 = 7,541.10 : x
  2. Step 2: Convert to fraction form
    8,665.38/11,926.44 = 7,541.10/x
  3. Step 3: Cross multiply
    8,665.38x = 11,926.44 × 7,541.10
  4. Step 4: Simplify right side
    8,665.38x = 89,938,476.68
  5. Step 5: Solve for x
    x = 89,938,476.68/8,665.38
  6. Step 6: Final answer
    x = 10,379.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.