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Finding the Fourth Proportional to 7,859.46, 11,789.32 and 6,292.20

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Solution

The fourth proportional to 7,859.46, 11,789.32 and 6,292.20 is: 9,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.46 : 11,789.32 = 6,292.20 : x
  2. Step 2: Convert to fraction form
    7,859.46/11,789.32 = 6,292.20/x
  3. Step 3: Cross multiply
    7,859.46x = 11,789.32 × 6,292.20
  4. Step 4: Simplify right side
    7,859.46x = 74,180,759.30
  5. Step 5: Solve for x
    x = 74,180,759.30/7,859.46
  6. Step 6: Final answer
    x = 9,438.40

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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.