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Finding the Fourth Proportional to 8,389.84, 12,585.18 and 3,196.12

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Solution

The fourth proportional to 8,389.84, 12,585.18 and 3,196.12 is: 4,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.84 : 12,585.18 = 3,196.12 : x
  2. Step 2: Convert to fraction form
    8,389.84/12,585.18 = 3,196.12/x
  3. Step 3: Cross multiply
    8,389.84x = 12,585.18 × 3,196.12
  4. Step 4: Simplify right side
    8,389.84x = 40,223,745.50
  5. Step 5: Solve for x
    x = 40,223,745.50/8,389.84
  6. Step 6: Final answer
    x = 4,794.34

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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.