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Finding the Fourth Proportional to 10,496.97, 14,456.52 and 8,712.18

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Solution

The fourth proportional to 10,496.97, 14,456.52 and 8,712.18 is: 11,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.97 : 14,456.52 = 8,712.18 : x
  2. Step 2: Convert to fraction form
    10,496.97/14,456.52 = 8,712.18/x
  3. Step 3: Cross multiply
    10,496.97x = 14,456.52 × 8,712.18
  4. Step 4: Simplify right side
    10,496.97x = 125,947,804.41
  5. Step 5: Solve for x
    x = 125,947,804.41/10,496.97
  6. Step 6: Final answer
    x = 11,998.49

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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.