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Finding the Fourth Proportional to 10,927.46, 15,080.49 and 8,270.18

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Solution

The fourth proportional to 10,927.46, 15,080.49 and 8,270.18 is: 11,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.46 : 15,080.49 = 8,270.18 : x
  2. Step 2: Convert to fraction form
    10,927.46/15,080.49 = 8,270.18/x
  3. Step 3: Cross multiply
    10,927.46x = 15,080.49 × 8,270.18
  4. Step 4: Simplify right side
    10,927.46x = 124,718,366.79
  5. Step 5: Solve for x
    x = 124,718,366.79/10,927.46
  6. Step 6: Final answer
    x = 11,413.30

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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.