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Finding the Fourth Proportional to 6,265.82, 8,627.10 and 4,768.94

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Solution

The fourth proportional to 6,265.82, 8,627.10 and 4,768.94 is: 6,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.82 : 8,627.10 = 4,768.94 : x
  2. Step 2: Convert to fraction form
    6,265.82/8,627.10 = 4,768.94/x
  3. Step 3: Cross multiply
    6,265.82x = 8,627.10 × 4,768.94
  4. Step 4: Simplify right side
    6,265.82x = 41,142,122.27
  5. Step 5: Solve for x
    x = 41,142,122.27/6,265.82
  6. Step 6: Final answer
    x = 6,566.12

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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.