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Finding the Fourth Proportional to 10,608.13, 14,638.81 and 5,892.71

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Solution

The fourth proportional to 10,608.13, 14,638.81 and 5,892.71 is: 8,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.13 : 14,638.81 = 5,892.71 : x
  2. Step 2: Convert to fraction form
    10,608.13/14,638.81 = 5,892.71/x
  3. Step 3: Cross multiply
    10,608.13x = 14,638.81 × 5,892.71
  4. Step 4: Simplify right side
    10,608.13x = 86,262,262.08
  5. Step 5: Solve for x
    x = 86,262,262.08/10,608.13
  6. Step 6: Final answer
    x = 8,131.71

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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.