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Finding the Fourth Proportional to 10,456.50, 15,684.62 and 2,665.22

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Solution

The fourth proportional to 10,456.50, 15,684.62 and 2,665.22 is: 3,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.50 : 15,684.62 = 2,665.22 : x
  2. Step 2: Convert to fraction form
    10,456.50/15,684.62 = 2,665.22/x
  3. Step 3: Cross multiply
    10,456.50x = 15,684.62 × 2,665.22
  4. Step 4: Simplify right side
    10,456.50x = 41,802,962.92
  5. Step 5: Solve for x
    x = 41,802,962.92/10,456.50
  6. Step 6: Final answer
    x = 3,997.80

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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.