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Finding the Fourth Proportional to 11,677.79, 16,117.44 and 6,962.38

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Solution

The fourth proportional to 11,677.79, 16,117.44 and 6,962.38 is: 9,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.79 : 16,117.44 = 6,962.38 : x
  2. Step 2: Convert to fraction form
    11,677.79/16,117.44 = 6,962.38/x
  3. Step 3: Cross multiply
    11,677.79x = 16,117.44 × 6,962.38
  4. Step 4: Simplify right side
    11,677.79x = 112,215,741.91
  5. Step 5: Solve for x
    x = 112,215,741.91/11,677.79
  6. Step 6: Final answer
    x = 9,609.33

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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.