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Finding the Fourth Proportional to 11,464.74, 17,200.44 and 4,804.38

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Solution

The fourth proportional to 11,464.74, 17,200.44 and 4,804.38 is: 7,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.74 : 17,200.44 = 4,804.38 : x
  2. Step 2: Convert to fraction form
    11,464.74/17,200.44 = 4,804.38/x
  3. Step 3: Cross multiply
    11,464.74x = 17,200.44 × 4,804.38
  4. Step 4: Simplify right side
    11,464.74x = 82,637,449.93
  5. Step 5: Solve for x
    x = 82,637,449.93/11,464.74
  6. Step 6: Final answer
    x = 7,207.97

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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.