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Finding the Fourth Proportional to 11,590.86, 17,388.02 and 4,197.05

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Solution

The fourth proportional to 11,590.86, 17,388.02 and 4,197.05 is: 6,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.86 : 17,388.02 = 4,197.05 : x
  2. Step 2: Convert to fraction form
    11,590.86/17,388.02 = 4,197.05/x
  3. Step 3: Cross multiply
    11,590.86x = 17,388.02 × 4,197.05
  4. Step 4: Simplify right side
    11,590.86x = 72,978,345.87
  5. Step 5: Solve for x
    x = 72,978,345.87/11,590.86
  6. Step 6: Final answer
    x = 6,296.20

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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.