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Finding the Fourth Proportional to 11,137.95, 15,371.70 and 6,891.83

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Solution

The fourth proportional to 11,137.95, 15,371.70 and 6,891.83 is: 9,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.95 : 15,371.70 = 6,891.83 : x
  2. Step 2: Convert to fraction form
    11,137.95/15,371.70 = 6,891.83/x
  3. Step 3: Cross multiply
    11,137.95x = 15,371.70 × 6,891.83
  4. Step 4: Simplify right side
    11,137.95x = 105,939,066.35
  5. Step 5: Solve for x
    x = 105,939,066.35/11,137.95
  6. Step 6: Final answer
    x = 9,511.54

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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.