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Finding the Fourth Proportional to 8,503.69, 12,756.49 and 2,263.94

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Solution

The fourth proportional to 8,503.69, 12,756.49 and 2,263.94 is: 3,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.69 : 12,756.49 = 2,263.94 : x
  2. Step 2: Convert to fraction form
    8,503.69/12,756.49 = 2,263.94/x
  3. Step 3: Cross multiply
    8,503.69x = 12,756.49 × 2,263.94
  4. Step 4: Simplify right side
    8,503.69x = 28,879,954.20
  5. Step 5: Solve for x
    x = 28,879,954.20/8,503.69
  6. Step 6: Final answer
    x = 3,396.17

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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.