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Finding the Fourth Proportional to 6,141.78, 8,472.48 and 4,153.05

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Solution

The fourth proportional to 6,141.78, 8,472.48 and 4,153.05 is: 5,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.78 : 8,472.48 = 4,153.05 : x
  2. Step 2: Convert to fraction form
    6,141.78/8,472.48 = 4,153.05/x
  3. Step 3: Cross multiply
    6,141.78x = 8,472.48 × 4,153.05
  4. Step 4: Simplify right side
    6,141.78x = 35,186,633.06
  5. Step 5: Solve for x
    x = 35,186,633.06/6,141.78
  6. Step 6: Final answer
    x = 5,729.06

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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.