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Finding the Fourth Proportional to 7,412.06, 11,105.74 and 5,216.17

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Solution

The fourth proportional to 7,412.06, 11,105.74 and 5,216.17 is: 7,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.06 : 11,105.74 = 5,216.17 : x
  2. Step 2: Convert to fraction form
    7,412.06/11,105.74 = 5,216.17/x
  3. Step 3: Cross multiply
    7,412.06x = 11,105.74 × 5,216.17
  4. Step 4: Simplify right side
    7,412.06x = 57,929,427.82
  5. Step 5: Solve for x
    x = 57,929,427.82/7,412.06
  6. Step 6: Final answer
    x = 7,815.56

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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.