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Finding the Fourth Proportional to 10,264.80, 14,160.39 and 6,486.15

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Solution

The fourth proportional to 10,264.80, 14,160.39 and 6,486.15 is: 8,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.80 : 14,160.39 = 6,486.15 : x
  2. Step 2: Convert to fraction form
    10,264.80/14,160.39 = 6,486.15/x
  3. Step 3: Cross multiply
    10,264.80x = 14,160.39 × 6,486.15
  4. Step 4: Simplify right side
    10,264.80x = 91,846,413.60
  5. Step 5: Solve for x
    x = 91,846,413.60/10,264.80
  6. Step 6: Final answer
    x = 8,947.71

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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.