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Finding the Fourth Proportional to 7,835.71, 11,753.22 and 3,154.30

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Solution

The fourth proportional to 7,835.71, 11,753.22 and 3,154.30 is: 4,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.71 : 11,753.22 = 3,154.30 : x
  2. Step 2: Convert to fraction form
    7,835.71/11,753.22 = 3,154.30/x
  3. Step 3: Cross multiply
    7,835.71x = 11,753.22 × 3,154.30
  4. Step 4: Simplify right side
    7,835.71x = 37,073,181.85
  5. Step 5: Solve for x
    x = 37,073,181.85/7,835.71
  6. Step 6: Final answer
    x = 4,731.31

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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.