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Finding the Fourth Proportional to 11,327.50, 16,998.12 and 7,161.76

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Solution

The fourth proportional to 11,327.50, 16,998.12 and 7,161.76 is: 10,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.50 : 16,998.12 = 7,161.76 : x
  2. Step 2: Convert to fraction form
    11,327.50/16,998.12 = 7,161.76/x
  3. Step 3: Cross multiply
    11,327.50x = 16,998.12 × 7,161.76
  4. Step 4: Simplify right side
    11,327.50x = 121,736,455.89
  5. Step 5: Solve for x
    x = 121,736,455.89/11,327.50
  6. Step 6: Final answer
    x = 10,746.98

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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.