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Finding the Fourth Proportional to 7,856.41, 11,782.79 and 2,308.27

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Solution

The fourth proportional to 7,856.41, 11,782.79 and 2,308.27 is: 3,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.41 : 11,782.79 = 2,308.27 : x
  2. Step 2: Convert to fraction form
    7,856.41/11,782.79 = 2,308.27/x
  3. Step 3: Cross multiply
    7,856.41x = 11,782.79 × 2,308.27
  4. Step 4: Simplify right side
    7,856.41x = 27,197,801.76
  5. Step 5: Solve for x
    x = 27,197,801.76/7,856.41
  6. Step 6: Final answer
    x = 3,461.86

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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.