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Finding the Fourth Proportional to 10,142.46, 15,216.08 and 3,216.96

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Solution

The fourth proportional to 10,142.46, 15,216.08 and 3,216.96 is: 4,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.46 : 15,216.08 = 3,216.96 : x
  2. Step 2: Convert to fraction form
    10,142.46/15,216.08 = 3,216.96/x
  3. Step 3: Cross multiply
    10,142.46x = 15,216.08 × 3,216.96
  4. Step 4: Simplify right side
    10,142.46x = 48,949,504.63
  5. Step 5: Solve for x
    x = 48,949,504.63/10,142.46
  6. Step 6: Final answer
    x = 4,826.20

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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.