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Finding the Fourth Proportional to 7,496.30, 11,241.25 and 2,566.44

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Solution

The fourth proportional to 7,496.30, 11,241.25 and 2,566.44 is: 3,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.30 : 11,241.25 = 2,566.44 : x
  2. Step 2: Convert to fraction form
    7,496.30/11,241.25 = 2,566.44/x
  3. Step 3: Cross multiply
    7,496.30x = 11,241.25 × 2,566.44
  4. Step 4: Simplify right side
    7,496.30x = 28,849,987.23
  5. Step 5: Solve for x
    x = 28,849,987.23/7,496.30
  6. Step 6: Final answer
    x = 3,848.56

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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.