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Finding the Fourth Proportional to 6,240.33, 8,613.12 and 4,116.24

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Solution

The fourth proportional to 6,240.33, 8,613.12 and 4,116.24 is: 5,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,240.33 : 8,613.12 = 4,116.24 : x
  2. Step 2: Convert to fraction form
    6,240.33/8,613.12 = 4,116.24/x
  3. Step 3: Cross multiply
    6,240.33x = 8,613.12 × 4,116.24
  4. Step 4: Simplify right side
    6,240.33x = 35,453,669.07
  5. Step 5: Solve for x
    x = 35,453,669.07/6,240.33
  6. Step 6: Final answer
    x = 5,681.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.