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Finding the Fourth Proportional to 11,712, 16,162.80 and 6,998.96

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Solution

The fourth proportional to 11,712, 16,162.80 and 6,998.96 is: 9,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 16,162.80 = 6,998.96 : x
  2. Step 2: Convert to fraction form
    11,712/16,162.80 = 6,998.96/x
  3. Step 3: Cross multiply
    11,712x = 16,162.80 × 6,998.96
  4. Step 4: Simplify right side
    11,712x = 113,122,790.69
  5. Step 5: Solve for x
    x = 113,122,790.69/11,712
  6. Step 6: Final answer
    x = 9,658.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.