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Finding the Fourth Proportional to 7,382.80, 10,188.22 and 4,240

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Solution

The fourth proportional to 7,382.80, 10,188.22 and 4,240 is: 5,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.80 : 10,188.22 = 4,240 : x
  2. Step 2: Convert to fraction form
    7,382.80/10,188.22 = 4,240/x
  3. Step 3: Cross multiply
    7,382.80x = 10,188.22 × 4,240
  4. Step 4: Simplify right side
    7,382.80x = 43,198,052.80
  5. Step 5: Solve for x
    x = 43,198,052.80/7,382.80
  6. Step 6: Final answer
    x = 5,851.17

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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.