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Finding the Fourth Proportional to 10,990.74, 15,162.20 and 6,511.95

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Solution

The fourth proportional to 10,990.74, 15,162.20 and 6,511.95 is: 8,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.74 : 15,162.20 = 6,511.95 : x
  2. Step 2: Convert to fraction form
    10,990.74/15,162.20 = 6,511.95/x
  3. Step 3: Cross multiply
    10,990.74x = 15,162.20 × 6,511.95
  4. Step 4: Simplify right side
    10,990.74x = 98,735,488.29
  5. Step 5: Solve for x
    x = 98,735,488.29/10,990.74
  6. Step 6: Final answer
    x = 8,983.52

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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.