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Finding the Fourth Proportional to 11,028.96, 16,541.71 and 9,166.81

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Solution

The fourth proportional to 11,028.96, 16,541.71 and 9,166.81 is: 13,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.96 : 16,541.71 = 9,166.81 : x
  2. Step 2: Convert to fraction form
    11,028.96/16,541.71 = 9,166.81/x
  3. Step 3: Cross multiply
    11,028.96x = 16,541.71 × 9,166.81
  4. Step 4: Simplify right side
    11,028.96x = 151,634,712.65
  5. Step 5: Solve for x
    x = 151,634,712.65/11,028.96
  6. Step 6: Final answer
    x = 13,748.78

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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.