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Finding the Fourth Proportional to 10,862.67, 16,294.14 and 3,467.10

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Solution

The fourth proportional to 10,862.67, 16,294.14 and 3,467.10 is: 5,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.67 : 16,294.14 = 3,467.10 : x
  2. Step 2: Convert to fraction form
    10,862.67/16,294.14 = 3,467.10/x
  3. Step 3: Cross multiply
    10,862.67x = 16,294.14 × 3,467.10
  4. Step 4: Simplify right side
    10,862.67x = 56,493,412.79
  5. Step 5: Solve for x
    x = 56,493,412.79/10,862.67
  6. Step 6: Final answer
    x = 5,200.69

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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.