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Finding the Fourth Proportional to 10,029.69, 13,838.62 and 5,997.84

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Solution

The fourth proportional to 10,029.69, 13,838.62 and 5,997.84 is: 8,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.69 : 13,838.62 = 5,997.84 : x
  2. Step 2: Convert to fraction form
    10,029.69/13,838.62 = 5,997.84/x
  3. Step 3: Cross multiply
    10,029.69x = 13,838.62 × 5,997.84
  4. Step 4: Simplify right side
    10,029.69x = 83,001,828.73
  5. Step 5: Solve for x
    x = 83,001,828.73/10,029.69
  6. Step 6: Final answer
    x = 8,275.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.