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Finding the Fourth Proportional to 10,383.77, 14,324.61 and 6,797.15

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Solution

The fourth proportional to 10,383.77, 14,324.61 and 6,797.15 is: 9,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.77 : 14,324.61 = 6,797.15 : x
  2. Step 2: Convert to fraction form
    10,383.77/14,324.61 = 6,797.15/x
  3. Step 3: Cross multiply
    10,383.77x = 14,324.61 × 6,797.15
  4. Step 4: Simplify right side
    10,383.77x = 97,366,504.04
  5. Step 5: Solve for x
    x = 97,366,504.04/10,383.77
  6. Step 6: Final answer
    x = 9,376.79

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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.