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Finding the Fourth Proportional to 6,145.71, 8,471.13 and 4,152.78

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Solution

The fourth proportional to 6,145.71, 8,471.13 and 4,152.78 is: 5,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.71 : 8,471.13 = 4,152.78 : x
  2. Step 2: Convert to fraction form
    6,145.71/8,471.13 = 4,152.78/x
  3. Step 3: Cross multiply
    6,145.71x = 8,471.13 × 4,152.78
  4. Step 4: Simplify right side
    6,145.71x = 35,178,739.24
  5. Step 5: Solve for x
    x = 35,178,739.24/6,145.71
  6. Step 6: Final answer
    x = 5,724.11

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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.