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Finding the Fourth Proportional to 12,382.24, 17,087.28 and 6,793.12

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Solution

The fourth proportional to 12,382.24, 17,087.28 and 6,793.12 is: 9,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.24 : 17,087.28 = 6,793.12 : x
  2. Step 2: Convert to fraction form
    12,382.24/17,087.28 = 6,793.12/x
  3. Step 3: Cross multiply
    12,382.24x = 17,087.28 × 6,793.12
  4. Step 4: Simplify right side
    12,382.24x = 116,075,943.51
  5. Step 5: Solve for x
    x = 116,075,943.51/12,382.24
  6. Step 6: Final answer
    x = 9,374.39

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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.