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Finding the Fourth Proportional to 11,815.22, 16,297.79 and 7,031.95

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Solution

The fourth proportional to 11,815.22, 16,297.79 and 7,031.95 is: 9,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.22 : 16,297.79 = 7,031.95 : x
  2. Step 2: Convert to fraction form
    11,815.22/16,297.79 = 7,031.95/x
  3. Step 3: Cross multiply
    11,815.22x = 16,297.79 × 7,031.95
  4. Step 4: Simplify right side
    11,815.22x = 114,605,244.39
  5. Step 5: Solve for x
    x = 114,605,244.39/11,815.22
  6. Step 6: Final answer
    x = 9,699.80

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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.