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Finding the Fourth Proportional to 7,847.66, 11,768.36 and 3,462

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Solution

The fourth proportional to 7,847.66, 11,768.36 and 3,462 is: 5,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.66 : 11,768.36 = 3,462 : x
  2. Step 2: Convert to fraction form
    7,847.66/11,768.36 = 3,462/x
  3. Step 3: Cross multiply
    7,847.66x = 11,768.36 × 3,462
  4. Step 4: Simplify right side
    7,847.66x = 40,742,062.32
  5. Step 5: Solve for x
    x = 40,742,062.32/7,847.66
  6. Step 6: Final answer
    x = 5,191.62

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Why These Related Problems?

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