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Finding the Fourth Proportional to 7,828.14, 10,800.99 and 5,728.62

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Solution

The fourth proportional to 7,828.14, 10,800.99 and 5,728.62 is: 7,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.14 : 10,800.99 = 5,728.62 : x
  2. Step 2: Convert to fraction form
    7,828.14/10,800.99 = 5,728.62/x
  3. Step 3: Cross multiply
    7,828.14x = 10,800.99 × 5,728.62
  4. Step 4: Simplify right side
    7,828.14x = 61,874,767.33
  5. Step 5: Solve for x
    x = 61,874,767.33/7,828.14
  6. Step 6: Final answer
    x = 7,904.15

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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.