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Finding the Fourth Proportional to 11,563.74, 17,342.64 and 4,544.01

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Solution

The fourth proportional to 11,563.74, 17,342.64 and 4,544.01 is: 6,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.74 : 17,342.64 = 4,544.01 : x
  2. Step 2: Convert to fraction form
    11,563.74/17,342.64 = 4,544.01/x
  3. Step 3: Cross multiply
    11,563.74x = 17,342.64 × 4,544.01
  4. Step 4: Simplify right side
    11,563.74x = 78,805,129.59
  5. Step 5: Solve for x
    x = 78,805,129.59/11,563.74
  6. Step 6: Final answer
    x = 6,814.85

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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.