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Finding the Fourth Proportional to 7,535.97, 11,304.81 and 2,605.05

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Solution

The fourth proportional to 7,535.97, 11,304.81 and 2,605.05 is: 3,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.97 : 11,304.81 = 2,605.05 : x
  2. Step 2: Convert to fraction form
    7,535.97/11,304.81 = 2,605.05/x
  3. Step 3: Cross multiply
    7,535.97x = 11,304.81 × 2,605.05
  4. Step 4: Simplify right side
    7,535.97x = 29,449,595.29
  5. Step 5: Solve for x
    x = 29,449,595.29/7,535.97
  6. Step 6: Final answer
    x = 3,907.87

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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.