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Finding the Fourth Proportional to 11,138.34, 15,371.10 and 6,102.48

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Solution

The fourth proportional to 11,138.34, 15,371.10 and 6,102.48 is: 8,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.34 : 15,371.10 = 6,102.48 : x
  2. Step 2: Convert to fraction form
    11,138.34/15,371.10 = 6,102.48/x
  3. Step 3: Cross multiply
    11,138.34x = 15,371.10 × 6,102.48
  4. Step 4: Simplify right side
    11,138.34x = 93,801,830.33
  5. Step 5: Solve for x
    x = 93,801,830.33/11,138.34
  6. Step 6: Final answer
    x = 8,421.53

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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.