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Finding the Fourth Proportional to 11,650.10, 17,466.03 and 7,943.13

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Solution

The fourth proportional to 11,650.10, 17,466.03 and 7,943.13 is: 11,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.10 : 17,466.03 = 7,943.13 : x
  2. Step 2: Convert to fraction form
    11,650.10/17,466.03 = 7,943.13/x
  3. Step 3: Cross multiply
    11,650.10x = 17,466.03 × 7,943.13
  4. Step 4: Simplify right side
    11,650.10x = 138,734,946.87
  5. Step 5: Solve for x
    x = 138,734,946.87/11,650.10
  6. Step 6: Final answer
    x = 11,908.48

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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.