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Finding the Fourth Proportional to 11,003.76, 16,486.47 and 9,166.68

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Solution

The fourth proportional to 11,003.76, 16,486.47 and 9,166.68 is: 13,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.76 : 16,486.47 = 9,166.68 : x
  2. Step 2: Convert to fraction form
    11,003.76/16,486.47 = 9,166.68/x
  3. Step 3: Cross multiply
    11,003.76x = 16,486.47 × 9,166.68
  4. Step 4: Simplify right side
    11,003.76x = 151,126,194.82
  5. Step 5: Solve for x
    x = 151,126,194.82/11,003.76
  6. Step 6: Final answer
    x = 13,734.05

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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.