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Finding the Fourth Proportional to 11,031.68, 15,221.48 and 6,553.82

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Solution

The fourth proportional to 11,031.68, 15,221.48 and 6,553.82 is: 9,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.68 : 15,221.48 = 6,553.82 : x
  2. Step 2: Convert to fraction form
    11,031.68/15,221.48 = 6,553.82/x
  3. Step 3: Cross multiply
    11,031.68x = 15,221.48 × 6,553.82
  4. Step 4: Simplify right side
    11,031.68x = 99,758,840.05
  5. Step 5: Solve for x
    x = 99,758,840.05/11,031.68
  6. Step 6: Final answer
    x = 9,042.94

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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.