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Finding the Fourth Proportional to 10,463.22, 15,657.22 and 7,682.99

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Solution

The fourth proportional to 10,463.22, 15,657.22 and 7,682.99 is: 11,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.22 : 15,657.22 = 7,682.99 : x
  2. Step 2: Convert to fraction form
    10,463.22/15,657.22 = 7,682.99/x
  3. Step 3: Cross multiply
    10,463.22x = 15,657.22 × 7,682.99
  4. Step 4: Simplify right side
    10,463.22x = 120,294,264.69
  5. Step 5: Solve for x
    x = 120,294,264.69/10,463.22
  6. Step 6: Final answer
    x = 11,496.87

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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.