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Finding the Fourth Proportional to 6,120.61, 8,438.98 and 5,174.77

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Solution

The fourth proportional to 6,120.61, 8,438.98 and 5,174.77 is: 7,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.61 : 8,438.98 = 5,174.77 : x
  2. Step 2: Convert to fraction form
    6,120.61/8,438.98 = 5,174.77/x
  3. Step 3: Cross multiply
    6,120.61x = 8,438.98 × 5,174.77
  4. Step 4: Simplify right side
    6,120.61x = 43,669,780.53
  5. Step 5: Solve for x
    x = 43,669,780.53/6,120.61
  6. Step 6: Final answer
    x = 7,134.87

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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.