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Finding the Fourth Proportional to 11,137.14, 16,708.95 and 6,215.58

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Solution

The fourth proportional to 11,137.14, 16,708.95 and 6,215.58 is: 9,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.14 : 16,708.95 = 6,215.58 : x
  2. Step 2: Convert to fraction form
    11,137.14/16,708.95 = 6,215.58/x
  3. Step 3: Cross multiply
    11,137.14x = 16,708.95 × 6,215.58
  4. Step 4: Simplify right side
    11,137.14x = 103,855,815.44
  5. Step 5: Solve for x
    x = 103,855,815.44/11,137.14
  6. Step 6: Final answer
    x = 9,325.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.