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Finding the Fourth Proportional to 7,857.16, 11,782.60 and 3,471.52

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Solution

The fourth proportional to 7,857.16, 11,782.60 and 3,471.52 is: 5,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.16 : 11,782.60 = 3,471.52 : x
  2. Step 2: Convert to fraction form
    7,857.16/11,782.60 = 3,471.52/x
  3. Step 3: Cross multiply
    7,857.16x = 11,782.60 × 3,471.52
  4. Step 4: Simplify right side
    7,857.16x = 40,903,531.55
  5. Step 5: Solve for x
    x = 40,903,531.55/7,857.16
  6. Step 6: Final answer
    x = 5,205.89

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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.