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Finding the Fourth Proportional to 7,869.50, 11,811.53 and 3,976.64

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Solution

The fourth proportional to 7,869.50, 11,811.53 and 3,976.64 is: 5,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.50 : 11,811.53 = 3,976.64 : x
  2. Step 2: Convert to fraction form
    7,869.50/11,811.53 = 3,976.64/x
  3. Step 3: Cross multiply
    7,869.50x = 11,811.53 × 3,976.64
  4. Step 4: Simplify right side
    7,869.50x = 46,970,153.54
  5. Step 5: Solve for x
    x = 46,970,153.54/7,869.50
  6. Step 6: Final answer
    x = 5,968.64

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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.