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Finding the Fourth Proportional to 11,566.94, 17,339 and 4,542.56

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Solution

The fourth proportional to 11,566.94, 17,339 and 4,542.56 is: 6,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.94 : 17,339 = 4,542.56 : x
  2. Step 2: Convert to fraction form
    11,566.94/17,339 = 4,542.56/x
  3. Step 3: Cross multiply
    11,566.94x = 17,339 × 4,542.56
  4. Step 4: Simplify right side
    11,566.94x = 78,763,447.84
  5. Step 5: Solve for x
    x = 78,763,447.84/11,566.94
  6. Step 6: Final answer
    x = 6,809.36

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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.