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Finding the Fourth Proportional to 8,369.87, 11,538.87 and 8,111.08

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Solution

The fourth proportional to 8,369.87, 11,538.87 and 8,111.08 is: 11,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.87 : 11,538.87 = 8,111.08 : x
  2. Step 2: Convert to fraction form
    8,369.87/11,538.87 = 8,111.08/x
  3. Step 3: Cross multiply
    8,369.87x = 11,538.87 × 8,111.08
  4. Step 4: Simplify right side
    8,369.87x = 93,592,639.99
  5. Step 5: Solve for x
    x = 93,592,639.99/8,369.87
  6. Step 6: Final answer
    x = 11,182.09

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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.