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Finding the Fourth Proportional to 7,971.74, 11,949.96 and 3,810.64

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Solution

The fourth proportional to 7,971.74, 11,949.96 and 3,810.64 is: 5,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.74 : 11,949.96 = 3,810.64 : x
  2. Step 2: Convert to fraction form
    7,971.74/11,949.96 = 3,810.64/x
  3. Step 3: Cross multiply
    7,971.74x = 11,949.96 × 3,810.64
  4. Step 4: Simplify right side
    7,971.74x = 45,536,995.57
  5. Step 5: Solve for x
    x = 45,536,995.57/7,971.74
  6. Step 6: Final answer
    x = 5,712.30

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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.