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Finding the Fourth Proportional to 7,540.98, 11,266.84 and 7,282.59

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Solution

The fourth proportional to 7,540.98, 11,266.84 and 7,282.59 is: 10,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.98 : 11,266.84 = 7,282.59 : x
  2. Step 2: Convert to fraction form
    7,540.98/11,266.84 = 7,282.59/x
  3. Step 3: Cross multiply
    7,540.98x = 11,266.84 × 7,282.59
  4. Step 4: Simplify right side
    7,540.98x = 82,051,776.32
  5. Step 5: Solve for x
    x = 82,051,776.32/7,540.98
  6. Step 6: Final answer
    x = 10,880.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.