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Finding the Fourth Proportional to 7,574.94, 11,362.49 and 2,644.59

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Solution

The fourth proportional to 7,574.94, 11,362.49 and 2,644.59 is: 3,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.94 : 11,362.49 = 2,644.59 : x
  2. Step 2: Convert to fraction form
    7,574.94/11,362.49 = 2,644.59/x
  3. Step 3: Cross multiply
    7,574.94x = 11,362.49 × 2,644.59
  4. Step 4: Simplify right side
    7,574.94x = 30,049,166.73
  5. Step 5: Solve for x
    x = 30,049,166.73/7,574.94
  6. Step 6: Final answer
    x = 3,966.92

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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.