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Finding the Fourth Proportional to 6,153.28, 9,185.16 and 5,375.68

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Solution

The fourth proportional to 6,153.28, 9,185.16 and 5,375.68 is: 8,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.28 : 9,185.16 = 5,375.68 : x
  2. Step 2: Convert to fraction form
    6,153.28/9,185.16 = 5,375.68/x
  3. Step 3: Cross multiply
    6,153.28x = 9,185.16 × 5,375.68
  4. Step 4: Simplify right side
    6,153.28x = 49,376,480.91
  5. Step 5: Solve for x
    x = 49,376,480.91/6,153.28
  6. Step 6: Final answer
    x = 8,024.42

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Why These Related Problems?

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