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Finding the Fourth Proportional to 11,327.78, 17,078.65 and 10,565.51

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Solution

The fourth proportional to 11,327.78, 17,078.65 and 10,565.51 is: 15,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.78 : 17,078.65 = 10,565.51 : x
  2. Step 2: Convert to fraction form
    11,327.78/17,078.65 = 10,565.51/x
  3. Step 3: Cross multiply
    11,327.78x = 17,078.65 × 10,565.51
  4. Step 4: Simplify right side
    11,327.78x = 180,444,535.55
  5. Step 5: Solve for x
    x = 180,444,535.55/11,327.78
  6. Step 6: Final answer
    x = 15,929.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.