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Finding the Fourth Proportional to 11,658.21, 17,499.62 and 6,393.02

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Solution

The fourth proportional to 11,658.21, 17,499.62 and 6,393.02 is: 9,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.21 : 17,499.62 = 6,393.02 : x
  2. Step 2: Convert to fraction form
    11,658.21/17,499.62 = 6,393.02/x
  3. Step 3: Cross multiply
    11,658.21x = 17,499.62 × 6,393.02
  4. Step 4: Simplify right side
    11,658.21x = 111,875,301.19
  5. Step 5: Solve for x
    x = 111,875,301.19/11,658.21
  6. Step 6: Final answer
    x = 9,596.27

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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.