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Finding the Fourth Proportional to 8,364.16, 12,549.48 and 3,173.68

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Solution

The fourth proportional to 8,364.16, 12,549.48 and 3,173.68 is: 4,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.16 : 12,549.48 = 3,173.68 : x
  2. Step 2: Convert to fraction form
    8,364.16/12,549.48 = 3,173.68/x
  3. Step 3: Cross multiply
    8,364.16x = 12,549.48 × 3,173.68
  4. Step 4: Simplify right side
    8,364.16x = 39,828,033.69
  5. Step 5: Solve for x
    x = 39,828,033.69/8,364.16
  6. Step 6: Final answer
    x = 4,761.75

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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.