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Finding the Fourth Proportional to 11,916.48, 17,874.72 and 8,207.58

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Solution

The fourth proportional to 11,916.48, 17,874.72 and 8,207.58 is: 12,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.48 : 17,874.72 = 8,207.58 : x
  2. Step 2: Convert to fraction form
    11,916.48/17,874.72 = 8,207.58/x
  3. Step 3: Cross multiply
    11,916.48x = 17,874.72 × 8,207.58
  4. Step 4: Simplify right side
    11,916.48x = 146,708,194.38
  5. Step 5: Solve for x
    x = 146,708,194.38/11,916.48
  6. Step 6: Final answer
    x = 12,311.37

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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.