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Finding the Fourth Proportional to 7,443.09, 10,282.14 and 5,949.05

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Solution

The fourth proportional to 7,443.09, 10,282.14 and 5,949.05 is: 8,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.09 : 10,282.14 = 5,949.05 : x
  2. Step 2: Convert to fraction form
    7,443.09/10,282.14 = 5,949.05/x
  3. Step 3: Cross multiply
    7,443.09x = 10,282.14 × 5,949.05
  4. Step 4: Simplify right side
    7,443.09x = 61,168,913.56
  5. Step 5: Solve for x
    x = 61,168,913.56/7,443.09
  6. Step 6: Final answer
    x = 8,218.21

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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.