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Finding the Fourth Proportional to 8,596.86, 12,896.62 and 3,666.50

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Solution

The fourth proportional to 8,596.86, 12,896.62 and 3,666.50 is: 5,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.86 : 12,896.62 = 3,666.50 : x
  2. Step 2: Convert to fraction form
    8,596.86/12,896.62 = 3,666.50/x
  3. Step 3: Cross multiply
    8,596.86x = 12,896.62 × 3,666.50
  4. Step 4: Simplify right side
    8,596.86x = 47,285,457.23
  5. Step 5: Solve for x
    x = 47,285,457.23/8,596.86
  6. Step 6: Final answer
    x = 5,500.32

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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.