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Finding the Fourth Proportional to 11,951.03, 17,926.52 and 5,692.06

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Solution

The fourth proportional to 11,951.03, 17,926.52 and 5,692.06 is: 8,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.03 : 17,926.52 = 5,692.06 : x
  2. Step 2: Convert to fraction form
    11,951.03/17,926.52 = 5,692.06/x
  3. Step 3: Cross multiply
    11,951.03x = 17,926.52 × 5,692.06
  4. Step 4: Simplify right side
    11,951.03x = 102,038,752.56
  5. Step 5: Solve for x
    x = 102,038,752.56/11,951.03
  6. Step 6: Final answer
    x = 8,538.07

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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.