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Finding the Fourth Proportional to 11,308.72, 15,616.92 and 7,780.36

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Solution

The fourth proportional to 11,308.72, 15,616.92 and 7,780.36 is: 10,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.72 : 15,616.92 = 7,780.36 : x
  2. Step 2: Convert to fraction form
    11,308.72/15,616.92 = 7,780.36/x
  3. Step 3: Cross multiply
    11,308.72x = 15,616.92 × 7,780.36
  4. Step 4: Simplify right side
    11,308.72x = 121,505,259.69
  5. Step 5: Solve for x
    x = 121,505,259.69/11,308.72
  6. Step 6: Final answer
    x = 10,744.39

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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.