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Finding the Fourth Proportional to 10,216.17, 15,313.36 and 5,824.17

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Solution

The fourth proportional to 10,216.17, 15,313.36 and 5,824.17 is: 8,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.17 : 15,313.36 = 5,824.17 : x
  2. Step 2: Convert to fraction form
    10,216.17/15,313.36 = 5,824.17/x
  3. Step 3: Cross multiply
    10,216.17x = 15,313.36 × 5,824.17
  4. Step 4: Simplify right side
    10,216.17x = 89,187,611.91
  5. Step 5: Solve for x
    x = 89,187,611.91/10,216.17
  6. Step 6: Final answer
    x = 8,730.04

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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.