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Finding the Fourth Proportional to 8,506.64, 12,756.84 and 2,958.56

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Solution

The fourth proportional to 8,506.64, 12,756.84 and 2,958.56 is: 4,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.64 : 12,756.84 = 2,958.56 : x
  2. Step 2: Convert to fraction form
    8,506.64/12,756.84 = 2,958.56/x
  3. Step 3: Cross multiply
    8,506.64x = 12,756.84 × 2,958.56
  4. Step 4: Simplify right side
    8,506.64x = 37,741,876.55
  5. Step 5: Solve for x
    x = 37,741,876.55/8,506.64
  6. Step 6: Final answer
    x = 4,436.75

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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.