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Finding the Fourth Proportional to 8,635.90, 12,953.82 and 3,702.34

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Solution

The fourth proportional to 8,635.90, 12,953.82 and 3,702.34 is: 5,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.90 : 12,953.82 = 3,702.34 : x
  2. Step 2: Convert to fraction form
    8,635.90/12,953.82 = 3,702.34/x
  3. Step 3: Cross multiply
    8,635.90x = 12,953.82 × 3,702.34
  4. Step 4: Simplify right side
    8,635.90x = 47,959,445.94
  5. Step 5: Solve for x
    x = 47,959,445.94/8,635.90
  6. Step 6: Final answer
    x = 5,553.50

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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.