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Finding the Fourth Proportional to 11,744.23, 16,206.53 and 7,031.11

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Solution

The fourth proportional to 11,744.23, 16,206.53 and 7,031.11 is: 9,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.23 : 16,206.53 = 7,031.11 : x
  2. Step 2: Convert to fraction form
    11,744.23/16,206.53 = 7,031.11/x
  3. Step 3: Cross multiply
    11,744.23x = 16,206.53 × 7,031.11
  4. Step 4: Simplify right side
    11,744.23x = 113,949,859.99
  5. Step 5: Solve for x
    x = 113,949,859.99/11,744.23
  6. Step 6: Final answer
    x = 9,702.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.