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Finding the Fourth Proportional to 7,855.48, 11,783.27 and 2,308.91

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Solution

The fourth proportional to 7,855.48, 11,783.27 and 2,308.91 is: 3,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.48 : 11,783.27 = 2,308.91 : x
  2. Step 2: Convert to fraction form
    7,855.48/11,783.27 = 2,308.91/x
  3. Step 3: Cross multiply
    7,855.48x = 11,783.27 × 2,308.91
  4. Step 4: Simplify right side
    7,855.48x = 27,206,456.79
  5. Step 5: Solve for x
    x = 27,206,456.79/7,855.48
  6. Step 6: Final answer
    x = 3,463.37

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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.