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Finding the Fourth Proportional to 7,574.31, 11,358.73 and 3,189.38

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Solution

The fourth proportional to 7,574.31, 11,358.73 and 3,189.38 is: 4,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.31 : 11,358.73 = 3,189.38 : x
  2. Step 2: Convert to fraction form
    7,574.31/11,358.73 = 3,189.38/x
  3. Step 3: Cross multiply
    7,574.31x = 11,358.73 × 3,189.38
  4. Step 4: Simplify right side
    7,574.31x = 36,227,253.48
  5. Step 5: Solve for x
    x = 36,227,253.48/7,574.31
  6. Step 6: Final answer
    x = 4,782.91

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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.