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Finding the Fourth Proportional to 4,804.13, 7,193.73 and 4,115.23

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Solution

The fourth proportional to 4,804.13, 7,193.73 and 4,115.23 is: 6,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.13 : 7,193.73 = 4,115.23 : x
  2. Step 2: Convert to fraction form
    4,804.13/7,193.73 = 4,115.23/x
  3. Step 3: Cross multiply
    4,804.13x = 7,193.73 × 4,115.23
  4. Step 4: Simplify right side
    4,804.13x = 29,603,853.51
  5. Step 5: Solve for x
    x = 29,603,853.51/4,804.13
  6. Step 6: Final answer
    x = 6,162.17

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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.