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Finding the Fourth Proportional to 11,031.78, 15,219.61 and 8,167.32

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Solution

The fourth proportional to 11,031.78, 15,219.61 and 8,167.32 is: 11,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.78 : 15,219.61 = 8,167.32 : x
  2. Step 2: Convert to fraction form
    11,031.78/15,219.61 = 8,167.32/x
  3. Step 3: Cross multiply
    11,031.78x = 15,219.61 × 8,167.32
  4. Step 4: Simplify right side
    11,031.78x = 124,303,404.73
  5. Step 5: Solve for x
    x = 124,303,404.73/11,031.78
  6. Step 6: Final answer
    x = 11,267.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.