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Finding the Fourth Proportional to 11,167.60, 16,727.10 and 9,709.60

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Solution

The fourth proportional to 11,167.60, 16,727.10 and 9,709.60 is: 14,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.60 : 16,727.10 = 9,709.60 : x
  2. Step 2: Convert to fraction form
    11,167.60/16,727.10 = 9,709.60/x
  3. Step 3: Cross multiply
    11,167.60x = 16,727.10 × 9,709.60
  4. Step 4: Simplify right side
    11,167.60x = 162,413,450.16
  5. Step 5: Solve for x
    x = 162,413,450.16/11,167.60
  6. Step 6: Final answer
    x = 14,543.27

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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.