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Finding the Fourth Proportional to 7,795.78, 11,693.68 and 2,601.66

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Solution

The fourth proportional to 7,795.78, 11,693.68 and 2,601.66 is: 3,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.78 : 11,693.68 = 2,601.66 : x
  2. Step 2: Convert to fraction form
    7,795.78/11,693.68 = 2,601.66/x
  3. Step 3: Cross multiply
    7,795.78x = 11,693.68 × 2,601.66
  4. Step 4: Simplify right side
    7,795.78x = 30,422,979.51
  5. Step 5: Solve for x
    x = 30,422,979.51/7,795.78
  6. Step 6: Final answer
    x = 3,902.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.