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Finding the Fourth Proportional to 11,053.92, 16,549.88 and 8,293.44

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Solution

The fourth proportional to 11,053.92, 16,549.88 and 8,293.44 is: 12,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.92 : 16,549.88 = 8,293.44 : x
  2. Step 2: Convert to fraction form
    11,053.92/16,549.88 = 8,293.44/x
  3. Step 3: Cross multiply
    11,053.92x = 16,549.88 × 8,293.44
  4. Step 4: Simplify right side
    11,053.92x = 137,255,436.79
  5. Step 5: Solve for x
    x = 137,255,436.79/11,053.92
  6. Step 6: Final answer
    x = 12,416.90

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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.