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Finding the Fourth Proportional to 11,713.94, 17,559.63 and 4,314.36

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Solution

The fourth proportional to 11,713.94, 17,559.63 and 4,314.36 is: 6,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.94 : 17,559.63 = 4,314.36 : x
  2. Step 2: Convert to fraction form
    11,713.94/17,559.63 = 4,314.36/x
  3. Step 3: Cross multiply
    11,713.94x = 17,559.63 × 4,314.36
  4. Step 4: Simplify right side
    11,713.94x = 75,758,543.72
  5. Step 5: Solve for x
    x = 75,758,543.72/11,713.94
  6. Step 6: Final answer
    x = 6,467.39

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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.