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Finding the Fourth Proportional to 10,169.37, 14,035.55 and 7,382.97

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Solution

The fourth proportional to 10,169.37, 14,035.55 and 7,382.97 is: 10,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.37 : 14,035.55 = 7,382.97 : x
  2. Step 2: Convert to fraction form
    10,169.37/14,035.55 = 7,382.97/x
  3. Step 3: Cross multiply
    10,169.37x = 14,035.55 × 7,382.97
  4. Step 4: Simplify right side
    10,169.37x = 103,624,007.67
  5. Step 5: Solve for x
    x = 103,624,007.67/10,169.37
  6. Step 6: Final answer
    x = 10,189.82

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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.