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Finding the Fourth Proportional to 10,144.17, 13,998.93 and 5,667.91

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Solution

The fourth proportional to 10,144.17, 13,998.93 and 5,667.91 is: 7,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.17 : 13,998.93 = 5,667.91 : x
  2. Step 2: Convert to fraction form
    10,144.17/13,998.93 = 5,667.91/x
  3. Step 3: Cross multiply
    10,144.17x = 13,998.93 × 5,667.91
  4. Step 4: Simplify right side
    10,144.17x = 79,344,619.08
  5. Step 5: Solve for x
    x = 79,344,619.08/10,144.17
  6. Step 6: Final answer
    x = 7,821.70

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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.