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Finding the Fourth Proportional to 11,359.39, 15,662.55 and 7,776.09

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Solution

The fourth proportional to 11,359.39, 15,662.55 and 7,776.09 is: 10,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.39 : 15,662.55 = 7,776.09 : x
  2. Step 2: Convert to fraction form
    11,359.39/15,662.55 = 7,776.09/x
  3. Step 3: Cross multiply
    11,359.39x = 15,662.55 × 7,776.09
  4. Step 4: Simplify right side
    11,359.39x = 121,793,398.43
  5. Step 5: Solve for x
    x = 121,793,398.43/11,359.39
  6. Step 6: Final answer
    x = 10,721.83

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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.