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Finding the Fourth Proportional to 8,596.02, 12,894.42 and 2,355.90

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Solution

The fourth proportional to 8,596.02, 12,894.42 and 2,355.90 is: 3,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.02 : 12,894.42 = 2,355.90 : x
  2. Step 2: Convert to fraction form
    8,596.02/12,894.42 = 2,355.90/x
  3. Step 3: Cross multiply
    8,596.02x = 12,894.42 × 2,355.90
  4. Step 4: Simplify right side
    8,596.02x = 30,377,964.08
  5. Step 5: Solve for x
    x = 30,377,964.08/8,596.02
  6. Step 6: Final answer
    x = 3,533.96

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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.