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Finding the Fourth Proportional to 11,137.60, 16,706.40 and 8,228.80

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Solution

The fourth proportional to 11,137.60, 16,706.40 and 8,228.80 is: 12,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.60 : 16,706.40 = 8,228.80 : x
  2. Step 2: Convert to fraction form
    11,137.60/16,706.40 = 8,228.80/x
  3. Step 3: Cross multiply
    11,137.60x = 16,706.40 × 8,228.80
  4. Step 4: Simplify right side
    11,137.60x = 137,473,624.32
  5. Step 5: Solve for x
    x = 137,473,624.32/11,137.60
  6. Step 6: Final answer
    x = 12,343.20

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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.