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Finding the Fourth Proportional to 6,494.75, 8,962.76 and 4,010.75

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Solution

The fourth proportional to 6,494.75, 8,962.76 and 4,010.75 is: 5,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.75 : 8,962.76 = 4,010.75 : x
  2. Step 2: Convert to fraction form
    6,494.75/8,962.76 = 4,010.75/x
  3. Step 3: Cross multiply
    6,494.75x = 8,962.76 × 4,010.75
  4. Step 4: Simplify right side
    6,494.75x = 35,947,369.62
  5. Step 5: Solve for x
    x = 35,947,369.62/6,494.75
  6. Step 6: Final answer
    x = 5,534.84

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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.