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Finding the Fourth Proportional to 10,634.92, 14,675.97 and 6,386.44

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Solution

The fourth proportional to 10,634.92, 14,675.97 and 6,386.44 is: 8,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.92 : 14,675.97 = 6,386.44 : x
  2. Step 2: Convert to fraction form
    10,634.92/14,675.97 = 6,386.44/x
  3. Step 3: Cross multiply
    10,634.92x = 14,675.97 × 6,386.44
  4. Step 4: Simplify right side
    10,634.92x = 93,727,201.85
  5. Step 5: Solve for x
    x = 93,727,201.85/10,634.92
  6. Step 6: Final answer
    x = 8,813.16

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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.