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Finding the Fourth Proportional to 11,704.51, 17,551.36 and 4,678.60

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Solution

The fourth proportional to 11,704.51, 17,551.36 and 4,678.60 is: 7,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.51 : 17,551.36 = 4,678.60 : x
  2. Step 2: Convert to fraction form
    11,704.51/17,551.36 = 4,678.60/x
  3. Step 3: Cross multiply
    11,704.51x = 17,551.36 × 4,678.60
  4. Step 4: Simplify right side
    11,704.51x = 82,115,749.93
  5. Step 5: Solve for x
    x = 82,115,749.93/11,704.51
  6. Step 6: Final answer
    x = 7,015.73

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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.