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Finding the Fourth Proportional to 10,292.73, 14,203.23 and 6,043.97

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Solution

The fourth proportional to 10,292.73, 14,203.23 and 6,043.97 is: 8,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.73 : 14,203.23 = 6,043.97 : x
  2. Step 2: Convert to fraction form
    10,292.73/14,203.23 = 6,043.97/x
  3. Step 3: Cross multiply
    10,292.73x = 14,203.23 × 6,043.97
  4. Step 4: Simplify right side
    10,292.73x = 85,843,825.01
  5. Step 5: Solve for x
    x = 85,843,825.01/10,292.73
  6. Step 6: Final answer
    x = 8,340.24

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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.