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Finding the Fourth Proportional to 7,750.12, 10,648.49 and 6,175.48

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Solution

The fourth proportional to 7,750.12, 10,648.49 and 6,175.48 is: 8,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.12 : 10,648.49 = 6,175.48 : x
  2. Step 2: Convert to fraction form
    7,750.12/10,648.49 = 6,175.48/x
  3. Step 3: Cross multiply
    7,750.12x = 10,648.49 × 6,175.48
  4. Step 4: Simplify right side
    7,750.12x = 65,759,537.03
  5. Step 5: Solve for x
    x = 65,759,537.03/7,750.12
  6. Step 6: Final answer
    x = 8,484.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.