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Finding the Fourth Proportional to 7,610.82, 10,506.17 and 4,627.61

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Solution

The fourth proportional to 7,610.82, 10,506.17 and 4,627.61 is: 6,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.82 : 10,506.17 = 4,627.61 : x
  2. Step 2: Convert to fraction form
    7,610.82/10,506.17 = 4,627.61/x
  3. Step 3: Cross multiply
    7,610.82x = 10,506.17 × 4,627.61
  4. Step 4: Simplify right side
    7,610.82x = 48,618,381.68
  5. Step 5: Solve for x
    x = 48,618,381.68/7,610.82
  6. Step 6: Final answer
    x = 6,388.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.