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Finding the Fourth Proportional to 10,495.12, 15,742.69 and 7,198.22

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Solution

The fourth proportional to 10,495.12, 15,742.69 and 7,198.22 is: 10,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.12 : 15,742.69 = 7,198.22 : x
  2. Step 2: Convert to fraction form
    10,495.12/15,742.69 = 7,198.22/x
  3. Step 3: Cross multiply
    10,495.12x = 15,742.69 × 7,198.22
  4. Step 4: Simplify right side
    10,495.12x = 113,319,278.82
  5. Step 5: Solve for x
    x = 113,319,278.82/10,495.12
  6. Step 6: Final answer
    x = 10,797.33

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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.