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Finding the Fourth Proportional to 6,812.39, 10,204.22 and 3,117.72

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Solution

The fourth proportional to 6,812.39, 10,204.22 and 3,117.72 is: 4,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.39 : 10,204.22 = 3,117.72 : x
  2. Step 2: Convert to fraction form
    6,812.39/10,204.22 = 3,117.72/x
  3. Step 3: Cross multiply
    6,812.39x = 10,204.22 × 3,117.72
  4. Step 4: Simplify right side
    6,812.39x = 31,813,885.19
  5. Step 5: Solve for x
    x = 31,813,885.19/6,812.39
  6. Step 6: Final answer
    x = 4,670.01

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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.