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Finding the Fourth Proportional to 6,132.72, 8,460 and 4,143.36

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Solution

The fourth proportional to 6,132.72, 8,460 and 4,143.36 is: 5,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.72 : 8,460 = 4,143.36 : x
  2. Step 2: Convert to fraction form
    6,132.72/8,460 = 4,143.36/x
  3. Step 3: Cross multiply
    6,132.72x = 8,460 × 4,143.36
  4. Step 4: Simplify right side
    6,132.72x = 35,052,825.60
  5. Step 5: Solve for x
    x = 35,052,825.60/6,132.72
  6. Step 6: Final answer
    x = 5,715.71

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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.