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Finding the Fourth Proportional to 10,845.54, 14,969.07 and 6,371.64

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Solution

The fourth proportional to 10,845.54, 14,969.07 and 6,371.64 is: 8,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.54 : 14,969.07 = 6,371.64 : x
  2. Step 2: Convert to fraction form
    10,845.54/14,969.07 = 6,371.64/x
  3. Step 3: Cross multiply
    10,845.54x = 14,969.07 × 6,371.64
  4. Step 4: Simplify right side
    10,845.54x = 95,377,525.17
  5. Step 5: Solve for x
    x = 95,377,525.17/10,845.54
  6. Step 6: Final answer
    x = 8,794.17

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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.