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Finding the Fourth Proportional to 8,369.46, 12,549.33 and 3,172.50

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Solution

The fourth proportional to 8,369.46, 12,549.33 and 3,172.50 is: 4,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.46 : 12,549.33 = 3,172.50 : x
  2. Step 2: Convert to fraction form
    8,369.46/12,549.33 = 3,172.50/x
  3. Step 3: Cross multiply
    8,369.46x = 12,549.33 × 3,172.50
  4. Step 4: Simplify right side
    8,369.46x = 39,812,749.43
  5. Step 5: Solve for x
    x = 39,812,749.43/8,369.46
  6. Step 6: Final answer
    x = 4,756.91

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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.