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Finding the Fourth Proportional to 11,137.61, 15,369.86 and 6,102.15

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Solution

The fourth proportional to 11,137.61, 15,369.86 and 6,102.15 is: 8,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.61 : 15,369.86 = 6,102.15 : x
  2. Step 2: Convert to fraction form
    11,137.61/15,369.86 = 6,102.15/x
  3. Step 3: Cross multiply
    11,137.61x = 15,369.86 × 6,102.15
  4. Step 4: Simplify right side
    11,137.61x = 93,789,148.82
  5. Step 5: Solve for x
    x = 93,789,148.82/11,137.61
  6. Step 6: Final answer
    x = 8,420.94

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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.