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Finding the Fourth Proportional to 10,456.50, 15,684.30 and 2,665.08

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Solution

The fourth proportional to 10,456.50, 15,684.30 and 2,665.08 is: 3,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.50 : 15,684.30 = 2,665.08 : x
  2. Step 2: Convert to fraction form
    10,456.50/15,684.30 = 2,665.08/x
  3. Step 3: Cross multiply
    10,456.50x = 15,684.30 × 2,665.08
  4. Step 4: Simplify right side
    10,456.50x = 41,799,914.24
  5. Step 5: Solve for x
    x = 41,799,914.24/10,456.50
  6. Step 6: Final answer
    x = 3,997.51

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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.