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Finding the Fourth Proportional to 10,013.90, 13,818.90 and 5,537.34

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Solution

The fourth proportional to 10,013.90, 13,818.90 and 5,537.34 is: 7,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.90 : 13,818.90 = 5,537.34 : x
  2. Step 2: Convert to fraction form
    10,013.90/13,818.90 = 5,537.34/x
  3. Step 3: Cross multiply
    10,013.90x = 13,818.90 × 5,537.34
  4. Step 4: Simplify right side
    10,013.90x = 76,519,947.73
  5. Step 5: Solve for x
    x = 76,519,947.73/10,013.90
  6. Step 6: Final answer
    x = 7,641.37

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Why These Related Problems?

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