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Finding the Fourth Proportional to 10,143.72, 13,998.08 and 5,667.50

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Solution

The fourth proportional to 10,143.72, 13,998.08 and 5,667.50 is: 7,821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.72 : 13,998.08 = 5,667.50 : x
  2. Step 2: Convert to fraction form
    10,143.72/13,998.08 = 5,667.50/x
  3. Step 3: Cross multiply
    10,143.72x = 13,998.08 × 5,667.50
  4. Step 4: Simplify right side
    10,143.72x = 79,334,143.65
  5. Step 5: Solve for x
    x = 79,334,143.65/10,143.72
  6. Step 6: Final answer
    x = 7,821.01

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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.