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Finding the Fourth Proportional to 11,691.40, 16,117.35 and 7,212.13

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Solution

The fourth proportional to 11,691.40, 16,117.35 and 7,212.13 is: 9,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.40 : 16,117.35 = 7,212.13 : x
  2. Step 2: Convert to fraction form
    11,691.40/16,117.35 = 7,212.13/x
  3. Step 3: Cross multiply
    11,691.40x = 16,117.35 × 7,212.13
  4. Step 4: Simplify right side
    11,691.40x = 116,240,423.46
  5. Step 5: Solve for x
    x = 116,240,423.46/11,691.40
  6. Step 6: Final answer
    x = 9,942.39

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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.