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Finding the Fourth Proportional to 10,321.38, 14,252.94 and 7,504.98

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Solution

The fourth proportional to 10,321.38, 14,252.94 and 7,504.98 is: 10,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.38 : 14,252.94 = 7,504.98 : x
  2. Step 2: Convert to fraction form
    10,321.38/14,252.94 = 7,504.98/x
  3. Step 3: Cross multiply
    10,321.38x = 14,252.94 × 7,504.98
  4. Step 4: Simplify right side
    10,321.38x = 106,968,029.64
  5. Step 5: Solve for x
    x = 106,968,029.64/10,321.38
  6. Step 6: Final answer
    x = 10,363.73

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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.