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Finding the Fourth Proportional to 10,216.24, 15,310.18 and 4,656

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Solution

The fourth proportional to 10,216.24, 15,310.18 and 4,656 is: 6,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.24 : 15,310.18 = 4,656 : x
  2. Step 2: Convert to fraction form
    10,216.24/15,310.18 = 4,656/x
  3. Step 3: Cross multiply
    10,216.24x = 15,310.18 × 4,656
  4. Step 4: Simplify right side
    10,216.24x = 71,284,198.08
  5. Step 5: Solve for x
    x = 71,284,198.08/10,216.24
  6. Step 6: Final answer
    x = 6,977.54

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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.