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Finding the Fourth Proportional to 7,181.69, 10,776.78 and 2,802.83

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Solution

The fourth proportional to 7,181.69, 10,776.78 and 2,802.83 is: 4,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.69 : 10,776.78 = 2,802.83 : x
  2. Step 2: Convert to fraction form
    7,181.69/10,776.78 = 2,802.83/x
  3. Step 3: Cross multiply
    7,181.69x = 10,776.78 × 2,802.83
  4. Step 4: Simplify right side
    7,181.69x = 30,205,428.40
  5. Step 5: Solve for x
    x = 30,205,428.40/7,181.69
  6. Step 6: Final answer
    x = 4,205.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.