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Finding the Fourth Proportional to 7,145.52, 10,667.94 and 6,171.12

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Solution

The fourth proportional to 7,145.52, 10,667.94 and 6,171.12 is: 9,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.52 : 10,667.94 = 6,171.12 : x
  2. Step 2: Convert to fraction form
    7,145.52/10,667.94 = 6,171.12/x
  3. Step 3: Cross multiply
    7,145.52x = 10,667.94 × 6,171.12
  4. Step 4: Simplify right side
    7,145.52x = 65,833,137.89
  5. Step 5: Solve for x
    x = 65,833,137.89/7,145.52
  6. Step 6: Final answer
    x = 9,213.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.