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Finding the Fourth Proportional to 10,312.16, 15,469.10 and 3,293.18

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Solution

The fourth proportional to 10,312.16, 15,469.10 and 3,293.18 is: 4,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.16 : 15,469.10 = 3,293.18 : x
  2. Step 2: Convert to fraction form
    10,312.16/15,469.10 = 3,293.18/x
  3. Step 3: Cross multiply
    10,312.16x = 15,469.10 × 3,293.18
  4. Step 4: Simplify right side
    10,312.16x = 50,942,530.74
  5. Step 5: Solve for x
    x = 50,942,530.74/10,312.16
  6. Step 6: Final answer
    x = 4,940.04

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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.