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Finding the Fourth Proportional to 10,143.60, 13,998.23 and 5,667.75

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Solution

The fourth proportional to 10,143.60, 13,998.23 and 5,667.75 is: 7,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.60 : 13,998.23 = 5,667.75 : x
  2. Step 2: Convert to fraction form
    10,143.60/13,998.23 = 5,667.75/x
  3. Step 3: Cross multiply
    10,143.60x = 13,998.23 × 5,667.75
  4. Step 4: Simplify right side
    10,143.60x = 79,338,468.08
  5. Step 5: Solve for x
    x = 79,338,468.08/10,143.60
  6. Step 6: Final answer
    x = 7,821.53

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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.