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Finding the Fourth Proportional to 8,048.46, 11,109.87 and 5,567.82

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Solution

The fourth proportional to 8,048.46, 11,109.87 and 5,567.82 is: 7,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.46 : 11,109.87 = 5,567.82 : x
  2. Step 2: Convert to fraction form
    8,048.46/11,109.87 = 5,567.82/x
  3. Step 3: Cross multiply
    8,048.46x = 11,109.87 × 5,567.82
  4. Step 4: Simplify right side
    8,048.46x = 61,857,756.38
  5. Step 5: Solve for x
    x = 61,857,756.38/8,048.46
  6. Step 6: Final answer
    x = 7,685.66

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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.