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Finding the Fourth Proportional to 7,812.74, 11,720.32 and 2,617.40

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Solution

The fourth proportional to 7,812.74, 11,720.32 and 2,617.40 is: 3,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.74 : 11,720.32 = 2,617.40 : x
  2. Step 2: Convert to fraction form
    7,812.74/11,720.32 = 2,617.40/x
  3. Step 3: Cross multiply
    7,812.74x = 11,720.32 × 2,617.40
  4. Step 4: Simplify right side
    7,812.74x = 30,676,765.57
  5. Step 5: Solve for x
    x = 30,676,765.57/7,812.74
  6. Step 6: Final answer
    x = 3,926.51

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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.