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Finding the Fourth Proportional to 7,549, 11,319.08 and 2,282.44

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Solution

The fourth proportional to 7,549, 11,319.08 and 2,282.44 is: 3,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549 : 11,319.08 = 2,282.44 : x
  2. Step 2: Convert to fraction form
    7,549/11,319.08 = 2,282.44/x
  3. Step 3: Cross multiply
    7,549x = 11,319.08 × 2,282.44
  4. Step 4: Simplify right side
    7,549x = 25,835,120.96
  5. Step 5: Solve for x
    x = 25,835,120.96/7,549
  6. Step 6: Final answer
    x = 3,422.32

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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.