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Finding the Fourth Proportional to 6,006.80, 8,289.90 and 5,536.16

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Solution

The fourth proportional to 6,006.80, 8,289.90 and 5,536.16 is: 7,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.80 : 8,289.90 = 5,536.16 : x
  2. Step 2: Convert to fraction form
    6,006.80/8,289.90 = 5,536.16/x
  3. Step 3: Cross multiply
    6,006.80x = 8,289.90 × 5,536.16
  4. Step 4: Simplify right side
    6,006.80x = 45,894,212.78
  5. Step 5: Solve for x
    x = 45,894,212.78/6,006.80
  6. Step 6: Final answer
    x = 7,640.38

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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.