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Finding the Fourth Proportional to 10,717.44, 16,074 and 2,926.32

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Solution

The fourth proportional to 10,717.44, 16,074 and 2,926.32 is: 4,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.44 : 16,074 = 2,926.32 : x
  2. Step 2: Convert to fraction form
    10,717.44/16,074 = 2,926.32/x
  3. Step 3: Cross multiply
    10,717.44x = 16,074 × 2,926.32
  4. Step 4: Simplify right side
    10,717.44x = 47,037,667.68
  5. Step 5: Solve for x
    x = 47,037,667.68/10,717.44
  6. Step 6: Final answer
    x = 4,388.89

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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.