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Finding the Fourth Proportional to 6,512.06, 8,990.97 and 4,032.38

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Solution

The fourth proportional to 6,512.06, 8,990.97 and 4,032.38 is: 5,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.06 : 8,990.97 = 4,032.38 : x
  2. Step 2: Convert to fraction form
    6,512.06/8,990.97 = 4,032.38/x
  3. Step 3: Cross multiply
    6,512.06x = 8,990.97 × 4,032.38
  4. Step 4: Simplify right side
    6,512.06x = 36,255,014.96
  5. Step 5: Solve for x
    x = 36,255,014.96/6,512.06
  6. Step 6: Final answer
    x = 5,567.36

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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.