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Finding the Fourth Proportional to 8,596.64, 12,895.74 and 3,401.28

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Solution

The fourth proportional to 8,596.64, 12,895.74 and 3,401.28 is: 5,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.64 : 12,895.74 = 3,401.28 : x
  2. Step 2: Convert to fraction form
    8,596.64/12,895.74 = 3,401.28/x
  3. Step 3: Cross multiply
    8,596.64x = 12,895.74 × 3,401.28
  4. Step 4: Simplify right side
    8,596.64x = 43,862,022.55
  5. Step 5: Solve for x
    x = 43,862,022.55/8,596.64
  6. Step 6: Final answer
    x = 5,102.23

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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.