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Finding the Fourth Proportional to 8,495.77, 12,734.46 and 4,107.19

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Solution

The fourth proportional to 8,495.77, 12,734.46 and 4,107.19 is: 6,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.77 : 12,734.46 = 4,107.19 : x
  2. Step 2: Convert to fraction form
    8,495.77/12,734.46 = 4,107.19/x
  3. Step 3: Cross multiply
    8,495.77x = 12,734.46 × 4,107.19
  4. Step 4: Simplify right side
    8,495.77x = 52,302,846.77
  5. Step 5: Solve for x
    x = 52,302,846.77/8,495.77
  6. Step 6: Final answer
    x = 6,156.34

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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.