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Finding the Fourth Proportional to 7,443.81, 10,272.17 and 4,086.81

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Solution

The fourth proportional to 7,443.81, 10,272.17 and 4,086.81 is: 5,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.81 : 10,272.17 = 4,086.81 : x
  2. Step 2: Convert to fraction form
    7,443.81/10,272.17 = 4,086.81/x
  3. Step 3: Cross multiply
    7,443.81x = 10,272.17 × 4,086.81
  4. Step 4: Simplify right side
    7,443.81x = 41,980,386.64
  5. Step 5: Solve for x
    x = 41,980,386.64/7,443.81
  6. Step 6: Final answer
    x = 5,639.64

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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.