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Finding the Fourth Proportional to 10,292.13, 14,201.73 and 6,044.22

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Solution

The fourth proportional to 10,292.13, 14,201.73 and 6,044.22 is: 8,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.13 : 14,201.73 = 6,044.22 : x
  2. Step 2: Convert to fraction form
    10,292.13/14,201.73 = 6,044.22/x
  3. Step 3: Cross multiply
    10,292.13x = 14,201.73 × 6,044.22
  4. Step 4: Simplify right side
    10,292.13x = 85,838,380.50
  5. Step 5: Solve for x
    x = 85,838,380.50/10,292.13
  6. Step 6: Final answer
    x = 8,340.20

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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.