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Finding the Fourth Proportional to 11,314.14, 16,956.85 and 5,073.90

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Solution

The fourth proportional to 11,314.14, 16,956.85 and 5,073.90 is: 7,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.14 : 16,956.85 = 5,073.90 : x
  2. Step 2: Convert to fraction form
    11,314.14/16,956.85 = 5,073.90/x
  3. Step 3: Cross multiply
    11,314.14x = 16,956.85 × 5,073.90
  4. Step 4: Simplify right side
    11,314.14x = 86,037,356.42
  5. Step 5: Solve for x
    x = 86,037,356.42/11,314.14
  6. Step 6: Final answer
    x = 7,604.41

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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.