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Finding the Fourth Proportional to 8,724.96, 13,084.20 and 2,880

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Solution

The fourth proportional to 8,724.96, 13,084.20 and 2,880 is: 4,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.96 : 13,084.20 = 2,880 : x
  2. Step 2: Convert to fraction form
    8,724.96/13,084.20 = 2,880/x
  3. Step 3: Cross multiply
    8,724.96x = 13,084.20 × 2,880
  4. Step 4: Simplify right side
    8,724.96x = 37,682,496
  5. Step 5: Solve for x
    x = 37,682,496/8,724.96
  6. Step 6: Final answer
    x = 4,318.93

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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.