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Finding the Fourth Proportional to 7,873.14, 10,855.92 and 5,880.33

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Solution

The fourth proportional to 7,873.14, 10,855.92 and 5,880.33 is: 8,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.14 : 10,855.92 = 5,880.33 : x
  2. Step 2: Convert to fraction form
    7,873.14/10,855.92 = 5,880.33/x
  3. Step 3: Cross multiply
    7,873.14x = 10,855.92 × 5,880.33
  4. Step 4: Simplify right side
    7,873.14x = 63,836,392.05
  5. Step 5: Solve for x
    x = 63,836,392.05/7,873.14
  6. Step 6: Final answer
    x = 8,108.12

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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.