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Finding the Fourth Proportional to 11,154.64, 16,734.72 and 7,874.14

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Solution

The fourth proportional to 11,154.64, 16,734.72 and 7,874.14 is: 11,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.64 : 16,734.72 = 7,874.14 : x
  2. Step 2: Convert to fraction form
    11,154.64/16,734.72 = 7,874.14/x
  3. Step 3: Cross multiply
    11,154.64x = 16,734.72 × 7,874.14
  4. Step 4: Simplify right side
    11,154.64x = 131,771,528.14
  5. Step 5: Solve for x
    x = 131,771,528.14/11,154.64
  6. Step 6: Final answer
    x = 11,813.16

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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.