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Finding the Fourth Proportional to 11,869.50, 16,379.91 and 7,154.76

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Solution

The fourth proportional to 11,869.50, 16,379.91 and 7,154.76 is: 9,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.50 : 16,379.91 = 7,154.76 : x
  2. Step 2: Convert to fraction form
    11,869.50/16,379.91 = 7,154.76/x
  3. Step 3: Cross multiply
    11,869.50x = 16,379.91 × 7,154.76
  4. Step 4: Simplify right side
    11,869.50x = 117,194,324.87
  5. Step 5: Solve for x
    x = 117,194,324.87/11,869.50
  6. Step 6: Final answer
    x = 9,873.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.