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Finding the Fourth Proportional to 11,137.54, 15,369.78 and 6,102.06

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Solution

The fourth proportional to 11,137.54, 15,369.78 and 6,102.06 is: 8,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.54 : 15,369.78 = 6,102.06 : x
  2. Step 2: Convert to fraction form
    11,137.54/15,369.78 = 6,102.06/x
  3. Step 3: Cross multiply
    11,137.54x = 15,369.78 × 6,102.06
  4. Step 4: Simplify right side
    11,137.54x = 93,787,319.75
  5. Step 5: Solve for x
    x = 93,787,319.75/11,137.54
  6. Step 6: Final answer
    x = 8,420.83

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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.