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Finding the Fourth Proportional to 7,647.75, 10,552.97 and 4,461.73

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Solution

The fourth proportional to 7,647.75, 10,552.97 and 4,461.73 is: 6,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.75 : 10,552.97 = 4,461.73 : x
  2. Step 2: Convert to fraction form
    7,647.75/10,552.97 = 4,461.73/x
  3. Step 3: Cross multiply
    7,647.75x = 10,552.97 × 4,461.73
  4. Step 4: Simplify right side
    7,647.75x = 47,084,487.61
  5. Step 5: Solve for x
    x = 47,084,487.61/7,647.75
  6. Step 6: Final answer
    x = 6,156.65

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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.