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Finding the Fourth Proportional to 10,223.43, 15,335.13 and 3,203.98

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Solution

The fourth proportional to 10,223.43, 15,335.13 and 3,203.98 is: 4,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.43 : 15,335.13 = 3,203.98 : x
  2. Step 2: Convert to fraction form
    10,223.43/15,335.13 = 3,203.98/x
  3. Step 3: Cross multiply
    10,223.43x = 15,335.13 × 3,203.98
  4. Step 4: Simplify right side
    10,223.43x = 49,133,503.32
  5. Step 5: Solve for x
    x = 49,133,503.32/10,223.43
  6. Step 6: Final answer
    x = 4,805.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.