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Finding the Fourth Proportional to 10,006.96, 13,809 and 6,029.36

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Solution

The fourth proportional to 10,006.96, 13,809 and 6,029.36 is: 8,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.96 : 13,809 = 6,029.36 : x
  2. Step 2: Convert to fraction form
    10,006.96/13,809 = 6,029.36/x
  3. Step 3: Cross multiply
    10,006.96x = 13,809 × 6,029.36
  4. Step 4: Simplify right side
    10,006.96x = 83,259,432.24
  5. Step 5: Solve for x
    x = 83,259,432.24/10,006.96
  6. Step 6: Final answer
    x = 8,320.15

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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.