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Finding the Fourth Proportional to 7,638.43, 11,435.77 and 4,696.91

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Solution

The fourth proportional to 7,638.43, 11,435.77 and 4,696.91 is: 7,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.43 : 11,435.77 = 4,696.91 : x
  2. Step 2: Convert to fraction form
    7,638.43/11,435.77 = 4,696.91/x
  3. Step 3: Cross multiply
    7,638.43x = 11,435.77 × 4,696.91
  4. Step 4: Simplify right side
    7,638.43x = 53,712,770.73
  5. Step 5: Solve for x
    x = 53,712,770.73/7,638.43
  6. Step 6: Final answer
    x = 7,031.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.