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Finding the Fourth Proportional to 8,031.97, 11,085.15 and 4,495.38

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Solution

The fourth proportional to 8,031.97, 11,085.15 and 4,495.38 is: 6,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.97 : 11,085.15 = 4,495.38 : x
  2. Step 2: Convert to fraction form
    8,031.97/11,085.15 = 4,495.38/x
  3. Step 3: Cross multiply
    8,031.97x = 11,085.15 × 4,495.38
  4. Step 4: Simplify right side
    8,031.97x = 49,831,961.61
  5. Step 5: Solve for x
    x = 49,831,961.61/8,031.97
  6. Step 6: Final answer
    x = 6,204.20

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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.