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Finding the Fourth Proportional to 7,880.50, 11,822.78 and 2,950.21

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Solution

The fourth proportional to 7,880.50, 11,822.78 and 2,950.21 is: 4,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.50 : 11,822.78 = 2,950.21 : x
  2. Step 2: Convert to fraction form
    7,880.50/11,822.78 = 2,950.21/x
  3. Step 3: Cross multiply
    7,880.50x = 11,822.78 × 2,950.21
  4. Step 4: Simplify right side
    7,880.50x = 34,879,683.78
  5. Step 5: Solve for x
    x = 34,879,683.78/7,880.50
  6. Step 6: Final answer
    x = 4,426.07

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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.