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Finding the Fourth Proportional to 8,053.62, 11,114.57 and 4,469.75

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Solution

The fourth proportional to 8,053.62, 11,114.57 and 4,469.75 is: 6,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.62 : 11,114.57 = 4,469.75 : x
  2. Step 2: Convert to fraction form
    8,053.62/11,114.57 = 4,469.75/x
  3. Step 3: Cross multiply
    8,053.62x = 11,114.57 × 4,469.75
  4. Step 4: Simplify right side
    8,053.62x = 49,679,271.34
  5. Step 5: Solve for x
    x = 49,679,271.34/8,053.62
  6. Step 6: Final answer
    x = 6,168.56

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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.