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Finding the Fourth Proportional to 11,855.09, 17,784.57 and 4,460.16

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Solution

The fourth proportional to 11,855.09, 17,784.57 and 4,460.16 is: 6,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.09 : 17,784.57 = 4,460.16 : x
  2. Step 2: Convert to fraction form
    11,855.09/17,784.57 = 4,460.16/x
  3. Step 3: Cross multiply
    11,855.09x = 17,784.57 × 4,460.16
  4. Step 4: Simplify right side
    11,855.09x = 79,322,027.73
  5. Step 5: Solve for x
    x = 79,322,027.73/11,855.09
  6. Step 6: Final answer
    x = 6,690.97

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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.