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Finding the Fourth Proportional to 7,446.69, 10,243.76 and 6,228.81

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Solution

The fourth proportional to 7,446.69, 10,243.76 and 6,228.81 is: 8,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.69 : 10,243.76 = 6,228.81 : x
  2. Step 2: Convert to fraction form
    7,446.69/10,243.76 = 6,228.81/x
  3. Step 3: Cross multiply
    7,446.69x = 10,243.76 × 6,228.81
  4. Step 4: Simplify right side
    7,446.69x = 63,806,403.58
  5. Step 5: Solve for x
    x = 63,806,403.58/7,446.69
  6. Step 6: Final answer
    x = 8,568.42

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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.