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Finding the Fourth Proportional to 7,889.05, 10,881.31 and 5,057.23

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Solution

The fourth proportional to 7,889.05, 10,881.31 and 5,057.23 is: 6,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.05 : 10,881.31 = 5,057.23 : x
  2. Step 2: Convert to fraction form
    7,889.05/10,881.31 = 5,057.23/x
  3. Step 3: Cross multiply
    7,889.05x = 10,881.31 × 5,057.23
  4. Step 4: Simplify right side
    7,889.05x = 55,029,287.37
  5. Step 5: Solve for x
    x = 55,029,287.37/7,889.05
  6. Step 6: Final answer
    x = 6,975.40

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Why These Related Problems?

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