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Finding the Fourth Proportional to 6,271.68, 8,652.24 and 4,176.48

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Solution

The fourth proportional to 6,271.68, 8,652.24 and 4,176.48 is: 5,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.68 : 8,652.24 = 4,176.48 : x
  2. Step 2: Convert to fraction form
    6,271.68/8,652.24 = 4,176.48/x
  3. Step 3: Cross multiply
    6,271.68x = 8,652.24 × 4,176.48
  4. Step 4: Simplify right side
    6,271.68x = 36,135,907.32
  5. Step 5: Solve for x
    x = 36,135,907.32/6,271.68
  6. Step 6: Final answer
    x = 5,761.76

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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.