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Finding the Fourth Proportional to 6,557.18, 9,835.83 and 5,249.24

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Solution

The fourth proportional to 6,557.18, 9,835.83 and 5,249.24 is: 7,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.18 : 9,835.83 = 5,249.24 : x
  2. Step 2: Convert to fraction form
    6,557.18/9,835.83 = 5,249.24/x
  3. Step 3: Cross multiply
    6,557.18x = 9,835.83 × 5,249.24
  4. Step 4: Simplify right side
    6,557.18x = 51,630,632.27
  5. Step 5: Solve for x
    x = 51,630,632.27/6,557.18
  6. Step 6: Final answer
    x = 7,873.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.