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Finding the Fourth Proportional to 10,031.33, 13,843.02 and 5,554.82

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Solution

The fourth proportional to 10,031.33, 13,843.02 and 5,554.82 is: 7,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.33 : 13,843.02 = 5,554.82 : x
  2. Step 2: Convert to fraction form
    10,031.33/13,843.02 = 5,554.82/x
  3. Step 3: Cross multiply
    10,031.33x = 13,843.02 × 5,554.82
  4. Step 4: Simplify right side
    10,031.33x = 76,895,484.36
  5. Step 5: Solve for x
    x = 76,895,484.36/10,031.33
  6. Step 6: Final answer
    x = 7,665.53

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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.