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Finding the Fourth Proportional to 6,312.96, 9,512.21 and 5,241.33

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Solution

The fourth proportional to 6,312.96, 9,512.21 and 5,241.33 is: 7,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.96 : 9,512.21 = 5,241.33 : x
  2. Step 2: Convert to fraction form
    6,312.96/9,512.21 = 5,241.33/x
  3. Step 3: Cross multiply
    6,312.96x = 9,512.21 × 5,241.33
  4. Step 4: Simplify right side
    6,312.96x = 49,856,605.43
  5. Step 5: Solve for x
    x = 49,856,605.43/6,312.96
  6. Step 6: Final answer
    x = 7,897.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.