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Finding the Fourth Proportional to 7,864.80, 10,853.10 and 5,028.18

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Solution

The fourth proportional to 7,864.80, 10,853.10 and 5,028.18 is: 6,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.80 : 10,853.10 = 5,028.18 : x
  2. Step 2: Convert to fraction form
    7,864.80/10,853.10 = 5,028.18/x
  3. Step 3: Cross multiply
    7,864.80x = 10,853.10 × 5,028.18
  4. Step 4: Simplify right side
    7,864.80x = 54,571,340.36
  5. Step 5: Solve for x
    x = 54,571,340.36/7,864.80
  6. Step 6: Final answer
    x = 6,938.68

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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.