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Finding the Fourth Proportional to 8,963.50, 13,450.11 and 4,346.50

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Solution

The fourth proportional to 8,963.50, 13,450.11 and 4,346.50 is: 6,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.50 : 13,450.11 = 4,346.50 : x
  2. Step 2: Convert to fraction form
    8,963.50/13,450.11 = 4,346.50/x
  3. Step 3: Cross multiply
    8,963.50x = 13,450.11 × 4,346.50
  4. Step 4: Simplify right side
    8,963.50x = 58,460,903.12
  5. Step 5: Solve for x
    x = 58,460,903.12/8,963.50
  6. Step 6: Final answer
    x = 6,522.11

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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.