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Finding the Fourth Proportional to 10,217.16, 15,314.86 and 5,825.16

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Solution

The fourth proportional to 10,217.16, 15,314.86 and 5,825.16 is: 8,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.16 : 15,314.86 = 5,825.16 : x
  2. Step 2: Convert to fraction form
    10,217.16/15,314.86 = 5,825.16/x
  3. Step 3: Cross multiply
    10,217.16x = 15,314.86 × 5,825.16
  4. Step 4: Simplify right side
    10,217.16x = 89,211,509.88
  5. Step 5: Solve for x
    x = 89,211,509.88/10,217.16
  6. Step 6: Final answer
    x = 8,731.54

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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.