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Finding the Fourth Proportional to 6,174.12, 8,524.26 and 5,509.83

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Solution

The fourth proportional to 6,174.12, 8,524.26 and 5,509.83 is: 7,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.12 : 8,524.26 = 5,509.83 : x
  2. Step 2: Convert to fraction form
    6,174.12/8,524.26 = 5,509.83/x
  3. Step 3: Cross multiply
    6,174.12x = 8,524.26 × 5,509.83
  4. Step 4: Simplify right side
    6,174.12x = 46,967,223.48
  5. Step 5: Solve for x
    x = 46,967,223.48/6,174.12
  6. Step 6: Final answer
    x = 7,607.11

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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.