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Finding the Fourth Proportional to 10,084.14, 13,915.67 and 5,834.99

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Solution

The fourth proportional to 10,084.14, 13,915.67 and 5,834.99 is: 8,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.14 : 13,915.67 = 5,834.99 : x
  2. Step 2: Convert to fraction form
    10,084.14/13,915.67 = 5,834.99/x
  3. Step 3: Cross multiply
    10,084.14x = 13,915.67 × 5,834.99
  4. Step 4: Simplify right side
    10,084.14x = 81,197,696.54
  5. Step 5: Solve for x
    x = 81,197,696.54/10,084.14
  6. Step 6: Final answer
    x = 8,052.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.