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Finding the Fourth Proportional to 11,804.56, 17,701.08 and 6,738.16

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Solution

The fourth proportional to 11,804.56, 17,701.08 and 6,738.16 is: 10,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.56 : 17,701.08 = 6,738.16 : x
  2. Step 2: Convert to fraction form
    11,804.56/17,701.08 = 6,738.16/x
  3. Step 3: Cross multiply
    11,804.56x = 17,701.08 × 6,738.16
  4. Step 4: Simplify right side
    11,804.56x = 119,272,709.21
  5. Step 5: Solve for x
    x = 119,272,709.21/11,804.56
  6. Step 6: Final answer
    x = 10,103.95

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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.