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Finding the Fourth Proportional to 6,265.80, 8,627.12 and 5,319.63

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Solution

The fourth proportional to 6,265.80, 8,627.12 and 5,319.63 is: 7,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.80 : 8,627.12 = 5,319.63 : x
  2. Step 2: Convert to fraction form
    6,265.80/8,627.12 = 5,319.63/x
  3. Step 3: Cross multiply
    6,265.80x = 8,627.12 × 5,319.63
  4. Step 4: Simplify right side
    6,265.80x = 45,893,086.37
  5. Step 5: Solve for x
    x = 45,893,086.37/6,265.80
  6. Step 6: Final answer
    x = 7,324.38

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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.