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Finding the Fourth Proportional to 10,142.82, 15,216.64 and 3,217.32

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Solution

The fourth proportional to 10,142.82, 15,216.64 and 3,217.32 is: 4,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.82 : 15,216.64 = 3,217.32 : x
  2. Step 2: Convert to fraction form
    10,142.82/15,216.64 = 3,217.32/x
  3. Step 3: Cross multiply
    10,142.82x = 15,216.64 × 3,217.32
  4. Step 4: Simplify right side
    10,142.82x = 48,956,800.20
  5. Step 5: Solve for x
    x = 48,956,800.20/10,142.82
  6. Step 6: Final answer
    x = 4,826.74

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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.