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Finding the Fourth Proportional to 11,651.50, 17,476.98 and 2,886.49

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Solution

The fourth proportional to 11,651.50, 17,476.98 and 2,886.49 is: 4,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.50 : 17,476.98 = 2,886.49 : x
  2. Step 2: Convert to fraction form
    11,651.50/17,476.98 = 2,886.49/x
  3. Step 3: Cross multiply
    11,651.50x = 17,476.98 × 2,886.49
  4. Step 4: Simplify right side
    11,651.50x = 50,447,128.00
  5. Step 5: Solve for x
    x = 50,447,128.00/11,651.50
  6. Step 6: Final answer
    x = 4,329.67

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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.