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Finding the Fourth Proportional to 10,366.67, 14,309.02 and 5,892.87

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Solution

The fourth proportional to 10,366.67, 14,309.02 and 5,892.87 is: 8,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.67 : 14,309.02 = 5,892.87 : x
  2. Step 2: Convert to fraction form
    10,366.67/14,309.02 = 5,892.87/x
  3. Step 3: Cross multiply
    10,366.67x = 14,309.02 × 5,892.87
  4. Step 4: Simplify right side
    10,366.67x = 84,321,194.69
  5. Step 5: Solve for x
    x = 84,321,194.69/10,366.67
  6. Step 6: Final answer
    x = 8,133.87

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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.