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Finding the Fourth Proportional to 11,309.10, 15,609.42 and 7,278.66

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Solution

The fourth proportional to 11,309.10, 15,609.42 and 7,278.66 is: 10,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.10 : 15,609.42 = 7,278.66 : x
  2. Step 2: Convert to fraction form
    11,309.10/15,609.42 = 7,278.66/x
  3. Step 3: Cross multiply
    11,309.10x = 15,609.42 × 7,278.66
  4. Step 4: Simplify right side
    11,309.10x = 113,615,660.98
  5. Step 5: Solve for x
    x = 113,615,660.98/11,309.10
  6. Step 6: Final answer
    x = 10,046.39

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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.