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Finding the Fourth Proportional to 10,862.64, 16,294.07 and 3,467.62

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Solution

The fourth proportional to 10,862.64, 16,294.07 and 3,467.62 is: 5,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.64 : 16,294.07 = 3,467.62 : x
  2. Step 2: Convert to fraction form
    10,862.64/16,294.07 = 3,467.62/x
  3. Step 3: Cross multiply
    10,862.64x = 16,294.07 × 3,467.62
  4. Step 4: Simplify right side
    10,862.64x = 56,501,643.01
  5. Step 5: Solve for x
    x = 56,501,643.01/10,862.64
  6. Step 6: Final answer
    x = 5,201.47

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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.