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Finding the Fourth Proportional to 7,243.14, 10,860.84 and 3,538.02

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Solution

The fourth proportional to 7,243.14, 10,860.84 and 3,538.02 is: 5,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.14 : 10,860.84 = 3,538.02 : x
  2. Step 2: Convert to fraction form
    7,243.14/10,860.84 = 3,538.02/x
  3. Step 3: Cross multiply
    7,243.14x = 10,860.84 × 3,538.02
  4. Step 4: Simplify right side
    7,243.14x = 38,425,869.14
  5. Step 5: Solve for x
    x = 38,425,869.14/7,243.14
  6. Step 6: Final answer
    x = 5,305.14

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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.