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Finding the Fourth Proportional to 11,590.96, 17,387.78 and 4,198.90

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Solution

The fourth proportional to 11,590.96, 17,387.78 and 4,198.90 is: 6,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.96 : 17,387.78 = 4,198.90 : x
  2. Step 2: Convert to fraction form
    11,590.96/17,387.78 = 4,198.90/x
  3. Step 3: Cross multiply
    11,590.96x = 17,387.78 × 4,198.90
  4. Step 4: Simplify right side
    11,590.96x = 73,009,549.44
  5. Step 5: Solve for x
    x = 73,009,549.44/11,590.96
  6. Step 6: Final answer
    x = 6,298.84

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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.