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Finding the Fourth Proportional to 7,116.41, 10,674.39 and 3,220.82

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Solution

The fourth proportional to 7,116.41, 10,674.39 and 3,220.82 is: 4,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.41 : 10,674.39 = 3,220.82 : x
  2. Step 2: Convert to fraction form
    7,116.41/10,674.39 = 3,220.82/x
  3. Step 3: Cross multiply
    7,116.41x = 10,674.39 × 3,220.82
  4. Step 4: Simplify right side
    7,116.41x = 34,380,315.49
  5. Step 5: Solve for x
    x = 34,380,315.49/7,116.41
  6. Step 6: Final answer
    x = 4,831.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.