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Finding the Fourth Proportional to 11,137.50, 15,369.78 and 6,169.50

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Solution

The fourth proportional to 11,137.50, 15,369.78 and 6,169.50 is: 8,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.50 : 15,369.78 = 6,169.50 : x
  2. Step 2: Convert to fraction form
    11,137.50/15,369.78 = 6,169.50/x
  3. Step 3: Cross multiply
    11,137.50x = 15,369.78 × 6,169.50
  4. Step 4: Simplify right side
    11,137.50x = 94,823,857.71
  5. Step 5: Solve for x
    x = 94,823,857.71/11,137.50
  6. Step 6: Final answer
    x = 8,513.93

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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.