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Finding the Fourth Proportional to 10,297.71, 14,207.49 and 5,821.02

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Solution

The fourth proportional to 10,297.71, 14,207.49 and 5,821.02 is: 8,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.71 : 14,207.49 = 5,821.02 : x
  2. Step 2: Convert to fraction form
    10,297.71/14,207.49 = 5,821.02/x
  3. Step 3: Cross multiply
    10,297.71x = 14,207.49 × 5,821.02
  4. Step 4: Simplify right side
    10,297.71x = 82,702,083.44
  5. Step 5: Solve for x
    x = 82,702,083.44/10,297.71
  6. Step 6: Final answer
    x = 8,031.11

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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.