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Finding the Fourth Proportional to 10,143.69, 13,997.26 and 5,836.67

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Solution

The fourth proportional to 10,143.69, 13,997.26 and 5,836.67 is: 8,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.69 : 13,997.26 = 5,836.67 : x
  2. Step 2: Convert to fraction form
    10,143.69/13,997.26 = 5,836.67/x
  3. Step 3: Cross multiply
    10,143.69x = 13,997.26 × 5,836.67
  4. Step 4: Simplify right side
    10,143.69x = 81,697,387.52
  5. Step 5: Solve for x
    x = 81,697,387.52/10,143.69
  6. Step 6: Final answer
    x = 8,054.01

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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.