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Finding the Fourth Proportional to 7,650.68, 11,474.48 and 2,384.26

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Solution

The fourth proportional to 7,650.68, 11,474.48 and 2,384.26 is: 3,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.68 : 11,474.48 = 2,384.26 : x
  2. Step 2: Convert to fraction form
    7,650.68/11,474.48 = 2,384.26/x
  3. Step 3: Cross multiply
    7,650.68x = 11,474.48 × 2,384.26
  4. Step 4: Simplify right side
    7,650.68x = 27,358,120.96
  5. Step 5: Solve for x
    x = 27,358,120.96/7,650.68
  6. Step 6: Final answer
    x = 3,575.91

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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.