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Finding the Fourth Proportional to 7,617.96, 11,428.74 and 2,423.84

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Solution

The fourth proportional to 7,617.96, 11,428.74 and 2,423.84 is: 3,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.96 : 11,428.74 = 2,423.84 : x
  2. Step 2: Convert to fraction form
    7,617.96/11,428.74 = 2,423.84/x
  3. Step 3: Cross multiply
    7,617.96x = 11,428.74 × 2,423.84
  4. Step 4: Simplify right side
    7,617.96x = 27,701,380.02
  5. Step 5: Solve for x
    x = 27,701,380.02/7,617.96
  6. Step 6: Final answer
    x = 3,636.33

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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.