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Finding the Fourth Proportional to 11,789.62, 16,263.78 and 7,007.38

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Solution

The fourth proportional to 11,789.62, 16,263.78 and 7,007.38 is: 9,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.62 : 16,263.78 = 7,007.38 : x
  2. Step 2: Convert to fraction form
    11,789.62/16,263.78 = 7,007.38/x
  3. Step 3: Cross multiply
    11,789.62x = 16,263.78 × 7,007.38
  4. Step 4: Simplify right side
    11,789.62x = 113,966,486.70
  5. Step 5: Solve for x
    x = 113,966,486.70/11,789.62
  6. Step 6: Final answer
    x = 9,666.68

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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.