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Finding the Fourth Proportional to 6,812.40, 10,217.12 and 2,430.16

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Solution

The fourth proportional to 6,812.40, 10,217.12 and 2,430.16 is: 3,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.40 : 10,217.12 = 2,430.16 : x
  2. Step 2: Convert to fraction form
    6,812.40/10,217.12 = 2,430.16/x
  3. Step 3: Cross multiply
    6,812.40x = 10,217.12 × 2,430.16
  4. Step 4: Simplify right side
    6,812.40x = 24,829,236.34
  5. Step 5: Solve for x
    x = 24,829,236.34/6,812.40
  6. Step 6: Final answer
    x = 3,644.71

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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.