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Finding the Fourth Proportional to 8,596.80, 12,895.86 and 3,666.48

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Solution

The fourth proportional to 8,596.80, 12,895.86 and 3,666.48 is: 5,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.80 : 12,895.86 = 3,666.48 : x
  2. Step 2: Convert to fraction form
    8,596.80/12,895.86 = 3,666.48/x
  3. Step 3: Cross multiply
    8,596.80x = 12,895.86 × 3,666.48
  4. Step 4: Simplify right side
    8,596.80x = 47,282,412.77
  5. Step 5: Solve for x
    x = 47,282,412.77/8,596.80
  6. Step 6: Final answer
    x = 5,500.00

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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.