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Finding the Fourth Proportional to 7,663.65, 11,493.05 and 2,468.31

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Solution

The fourth proportional to 7,663.65, 11,493.05 and 2,468.31 is: 3,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.65 : 11,493.05 = 2,468.31 : x
  2. Step 2: Convert to fraction form
    7,663.65/11,493.05 = 2,468.31/x
  3. Step 3: Cross multiply
    7,663.65x = 11,493.05 × 2,468.31
  4. Step 4: Simplify right side
    7,663.65x = 28,368,410.25
  5. Step 5: Solve for x
    x = 28,368,410.25/7,663.65
  6. Step 6: Final answer
    x = 3,701.68

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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.