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Finding the Fourth Proportional to 8,599.50, 12,894.15 and 3,666.62

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Solution

The fourth proportional to 8,599.50, 12,894.15 and 3,666.62 is: 5,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.50 : 12,894.15 = 3,666.62 : x
  2. Step 2: Convert to fraction form
    8,599.50/12,894.15 = 3,666.62/x
  3. Step 3: Cross multiply
    8,599.50x = 12,894.15 × 3,666.62
  4. Step 4: Simplify right side
    8,599.50x = 47,277,948.27
  5. Step 5: Solve for x
    x = 47,277,948.27/8,599.50
  6. Step 6: Final answer
    x = 5,497.76

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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.