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Finding the Fourth Proportional to 11,271.98, 15,556.50 and 6,492.09

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Solution

The fourth proportional to 11,271.98, 15,556.50 and 6,492.09 is: 8,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.98 : 15,556.50 = 6,492.09 : x
  2. Step 2: Convert to fraction form
    11,271.98/15,556.50 = 6,492.09/x
  3. Step 3: Cross multiply
    11,271.98x = 15,556.50 × 6,492.09
  4. Step 4: Simplify right side
    11,271.98x = 100,994,198.09
  5. Step 5: Solve for x
    x = 100,994,198.09/11,271.98
  6. Step 6: Final answer
    x = 8,959.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.