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Finding the Fourth Proportional to 7,856.62, 11,785.04 and 2,592.18

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Solution

The fourth proportional to 7,856.62, 11,785.04 and 2,592.18 is: 3,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.62 : 11,785.04 = 2,592.18 : x
  2. Step 2: Convert to fraction form
    7,856.62/11,785.04 = 2,592.18/x
  3. Step 3: Cross multiply
    7,856.62x = 11,785.04 × 2,592.18
  4. Step 4: Simplify right side
    7,856.62x = 30,548,944.99
  5. Step 5: Solve for x
    x = 30,548,944.99/7,856.62
  6. Step 6: Final answer
    x = 3,888.31

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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.