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Finding the Fourth Proportional to 10,381.97, 14,326.62 and 5,906.01

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Solution

The fourth proportional to 10,381.97, 14,326.62 and 5,906.01 is: 8,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.97 : 14,326.62 = 5,906.01 : x
  2. Step 2: Convert to fraction form
    10,381.97/14,326.62 = 5,906.01/x
  3. Step 3: Cross multiply
    10,381.97x = 14,326.62 × 5,906.01
  4. Step 4: Simplify right side
    10,381.97x = 84,613,225.78
  5. Step 5: Solve for x
    x = 84,613,225.78/10,381.97
  6. Step 6: Final answer
    x = 8,150.01

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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.