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Finding the Fourth Proportional to 11,650.94, 17,464.10 and 7,943.98

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Solution

The fourth proportional to 11,650.94, 17,464.10 and 7,943.98 is: 11,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.94 : 17,464.10 = 7,943.98 : x
  2. Step 2: Convert to fraction form
    11,650.94/17,464.10 = 7,943.98/x
  3. Step 3: Cross multiply
    11,650.94x = 17,464.10 × 7,943.98
  4. Step 4: Simplify right side
    11,650.94x = 138,734,461.12
  5. Step 5: Solve for x
    x = 138,734,461.12/11,650.94
  6. Step 6: Final answer
    x = 11,907.58

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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.