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Finding the Fourth Proportional to 8,366.10, 12,563.55 and 8,106.90

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Solution

The fourth proportional to 8,366.10, 12,563.55 and 8,106.90 is: 12,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.10 : 12,563.55 = 8,106.90 : x
  2. Step 2: Convert to fraction form
    8,366.10/12,563.55 = 8,106.90/x
  3. Step 3: Cross multiply
    8,366.10x = 12,563.55 × 8,106.90
  4. Step 4: Simplify right side
    8,366.10x = 101,851,443.50
  5. Step 5: Solve for x
    x = 101,851,443.50/8,366.10
  6. Step 6: Final answer
    x = 12,174.30

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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.