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Finding the Fourth Proportional to 11,014.60, 16,506.36 and 8,537.82

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Solution

The fourth proportional to 11,014.60, 16,506.36 and 8,537.82 is: 12,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.60 : 16,506.36 = 8,537.82 : x
  2. Step 2: Convert to fraction form
    11,014.60/16,506.36 = 8,537.82/x
  3. Step 3: Cross multiply
    11,014.60x = 16,506.36 × 8,537.82
  4. Step 4: Simplify right side
    11,014.60x = 140,928,330.54
  5. Step 5: Solve for x
    x = 140,928,330.54/11,014.60
  6. Step 6: Final answer
    x = 12,794.68

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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.