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Finding the Fourth Proportional to 7,822.50, 11,728.57 and 4,314.21

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Solution

The fourth proportional to 7,822.50, 11,728.57 and 4,314.21 is: 6,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.50 : 11,728.57 = 4,314.21 : x
  2. Step 2: Convert to fraction form
    7,822.50/11,728.57 = 4,314.21/x
  3. Step 3: Cross multiply
    7,822.50x = 11,728.57 × 4,314.21
  4. Step 4: Simplify right side
    7,822.50x = 50,599,513.98
  5. Step 5: Solve for x
    x = 50,599,513.98/7,822.50
  6. Step 6: Final answer
    x = 6,468.46

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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.