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Finding the Fourth Proportional to 10,198.16, 14,074.08 and 5,722.28

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Solution

The fourth proportional to 10,198.16, 14,074.08 and 5,722.28 is: 7,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.16 : 14,074.08 = 5,722.28 : x
  2. Step 2: Convert to fraction form
    10,198.16/14,074.08 = 5,722.28/x
  3. Step 3: Cross multiply
    10,198.16x = 14,074.08 × 5,722.28
  4. Step 4: Simplify right side
    10,198.16x = 80,535,826.50
  5. Step 5: Solve for x
    x = 80,535,826.50/10,198.16
  6. Step 6: Final answer
    x = 7,897.09

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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.