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Finding the Fourth Proportional to 7,562.82, 10,435.89 and 4,205.09

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Solution

The fourth proportional to 7,562.82, 10,435.89 and 4,205.09 is: 5,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.82 : 10,435.89 = 4,205.09 : x
  2. Step 2: Convert to fraction form
    7,562.82/10,435.89 = 4,205.09/x
  3. Step 3: Cross multiply
    7,562.82x = 10,435.89 × 4,205.09
  4. Step 4: Simplify right side
    7,562.82x = 43,883,856.68
  5. Step 5: Solve for x
    x = 43,883,856.68/7,562.82
  6. Step 6: Final answer
    x = 5,802.58

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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.