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Finding the Fourth Proportional to 6,297.48, 8,677.56 and 5,174.82

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Solution

The fourth proportional to 6,297.48, 8,677.56 and 5,174.82 is: 7,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.48 : 8,677.56 = 5,174.82 : x
  2. Step 2: Convert to fraction form
    6,297.48/8,677.56 = 5,174.82/x
  3. Step 3: Cross multiply
    6,297.48x = 8,677.56 × 5,174.82
  4. Step 4: Simplify right side
    6,297.48x = 44,904,811.04
  5. Step 5: Solve for x
    x = 44,904,811.04/6,297.48
  6. Step 6: Final answer
    x = 7,130.60

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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.