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Finding the Fourth Proportional to 7,606.25, 11,402.32 and 3,900.30

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Solution

The fourth proportional to 7,606.25, 11,402.32 and 3,900.30 is: 5,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.25 : 11,402.32 = 3,900.30 : x
  2. Step 2: Convert to fraction form
    7,606.25/11,402.32 = 3,900.30/x
  3. Step 3: Cross multiply
    7,606.25x = 11,402.32 × 3,900.30
  4. Step 4: Simplify right side
    7,606.25x = 44,472,468.70
  5. Step 5: Solve for x
    x = 44,472,468.70/7,606.25
  6. Step 6: Final answer
    x = 5,846.83

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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.