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Finding the Fourth Proportional to 12,864.87, 17,754.21 and 7,199.28

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Solution

The fourth proportional to 12,864.87, 17,754.21 and 7,199.28 is: 9,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.87 : 17,754.21 = 7,199.28 : x
  2. Step 2: Convert to fraction form
    12,864.87/17,754.21 = 7,199.28/x
  3. Step 3: Cross multiply
    12,864.87x = 17,754.21 × 7,199.28
  4. Step 4: Simplify right side
    12,864.87x = 127,817,528.97
  5. Step 5: Solve for x
    x = 127,817,528.97/12,864.87
  6. Step 6: Final answer
    x = 9,935.39

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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.