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Finding the Fourth Proportional to 11,117.86, 16,665.85 and 5,278.57

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Solution

The fourth proportional to 11,117.86, 16,665.85 and 5,278.57 is: 7,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.86 : 16,665.85 = 5,278.57 : x
  2. Step 2: Convert to fraction form
    11,117.86/16,665.85 = 5,278.57/x
  3. Step 3: Cross multiply
    11,117.86x = 16,665.85 × 5,278.57
  4. Step 4: Simplify right side
    11,117.86x = 87,971,855.83
  5. Step 5: Solve for x
    x = 87,971,855.83/11,117.86
  6. Step 6: Final answer
    x = 7,912.66

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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.