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Finding the Fourth Proportional to 11,707.75, 17,564.46 and 4,782.25

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Solution

The fourth proportional to 11,707.75, 17,564.46 and 4,782.25 is: 7,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.75 : 17,564.46 = 4,782.25 : x
  2. Step 2: Convert to fraction form
    11,707.75/17,564.46 = 4,782.25/x
  3. Step 3: Cross multiply
    11,707.75x = 17,564.46 × 4,782.25
  4. Step 4: Simplify right side
    11,707.75x = 83,997,638.84
  5. Step 5: Solve for x
    x = 83,997,638.84/11,707.75
  6. Step 6: Final answer
    x = 7,174.53

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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.