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Finding the Fourth Proportional to 7,822.55, 11,732.84 and 2,557.12

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Solution

The fourth proportional to 7,822.55, 11,732.84 and 2,557.12 is: 3,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.55 : 11,732.84 = 2,557.12 : x
  2. Step 2: Convert to fraction form
    7,822.55/11,732.84 = 2,557.12/x
  3. Step 3: Cross multiply
    7,822.55x = 11,732.84 × 2,557.12
  4. Step 4: Simplify right side
    7,822.55x = 30,002,279.82
  5. Step 5: Solve for x
    x = 30,002,279.82/7,822.55
  6. Step 6: Final answer
    x = 3,835.36

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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.