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Finding the Fourth Proportional to 7,856.82, 11,785.22 and 4,937.16

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Solution

The fourth proportional to 7,856.82, 11,785.22 and 4,937.16 is: 7,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.82 : 11,785.22 = 4,937.16 : x
  2. Step 2: Convert to fraction form
    7,856.82/11,785.22 = 4,937.16/x
  3. Step 3: Cross multiply
    7,856.82x = 11,785.22 × 4,937.16
  4. Step 4: Simplify right side
    7,856.82x = 58,185,516.78
  5. Step 5: Solve for x
    x = 58,185,516.78/7,856.82
  6. Step 6: Final answer
    x = 7,405.73

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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.