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Finding the Fourth Proportional to 7,184.87, 10,776.99 and 2,967.65

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Solution

The fourth proportional to 7,184.87, 10,776.99 and 2,967.65 is: 4,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.87 : 10,776.99 = 2,967.65 : x
  2. Step 2: Convert to fraction form
    7,184.87/10,776.99 = 2,967.65/x
  3. Step 3: Cross multiply
    7,184.87x = 10,776.99 × 2,967.65
  4. Step 4: Simplify right side
    7,184.87x = 31,982,334.37
  5. Step 5: Solve for x
    x = 31,982,334.37/7,184.87
  6. Step 6: Final answer
    x = 4,451.34

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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.