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Finding the Fourth Proportional to 8,757.48, 13,128.66 and 3,567

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Solution

The fourth proportional to 8,757.48, 13,128.66 and 3,567 is: 5,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.48 : 13,128.66 = 3,567 : x
  2. Step 2: Convert to fraction form
    8,757.48/13,128.66 = 3,567/x
  3. Step 3: Cross multiply
    8,757.48x = 13,128.66 × 3,567
  4. Step 4: Simplify right side
    8,757.48x = 46,829,930.22
  5. Step 5: Solve for x
    x = 46,829,930.22/8,757.48
  6. Step 6: Final answer
    x = 5,347.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.