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Finding the Fourth Proportional to 7,830.88, 11,735.24 and 4,125.60

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Solution

The fourth proportional to 7,830.88, 11,735.24 and 4,125.60 is: 6,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.88 : 11,735.24 = 4,125.60 : x
  2. Step 2: Convert to fraction form
    7,830.88/11,735.24 = 4,125.60/x
  3. Step 3: Cross multiply
    7,830.88x = 11,735.24 × 4,125.60
  4. Step 4: Simplify right side
    7,830.88x = 48,414,906.14
  5. Step 5: Solve for x
    x = 48,414,906.14/7,830.88
  6. Step 6: Final answer
    x = 6,182.56

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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.