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Finding the Fourth Proportional to 10,820.98, 16,198.59 and 6,928.12

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Solution

The fourth proportional to 10,820.98, 16,198.59 and 6,928.12 is: 10,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.98 : 16,198.59 = 6,928.12 : x
  2. Step 2: Convert to fraction form
    10,820.98/16,198.59 = 6,928.12/x
  3. Step 3: Cross multiply
    10,820.98x = 16,198.59 × 6,928.12
  4. Step 4: Simplify right side
    10,820.98x = 112,225,775.35
  5. Step 5: Solve for x
    x = 112,225,775.35/10,820.98
  6. Step 6: Final answer
    x = 10,371.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.