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Finding the Fourth Proportional to 11,477.86, 17,200.40 and 6,537.30

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Solution

The fourth proportional to 11,477.86, 17,200.40 and 6,537.30 is: 9,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.86 : 17,200.40 = 6,537.30 : x
  2. Step 2: Convert to fraction form
    11,477.86/17,200.40 = 6,537.30/x
  3. Step 3: Cross multiply
    11,477.86x = 17,200.40 × 6,537.30
  4. Step 4: Simplify right side
    11,477.86x = 112,444,174.92
  5. Step 5: Solve for x
    x = 112,444,174.92/11,477.86
  6. Step 6: Final answer
    x = 9,796.61

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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.