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Finding the Fourth Proportional to 8,438.73, 11,645.64 and 4,902.18

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Solution

The fourth proportional to 8,438.73, 11,645.64 and 4,902.18 is: 6,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.73 : 11,645.64 = 4,902.18 : x
  2. Step 2: Convert to fraction form
    8,438.73/11,645.64 = 4,902.18/x
  3. Step 3: Cross multiply
    8,438.73x = 11,645.64 × 4,902.18
  4. Step 4: Simplify right side
    8,438.73x = 57,089,023.50
  5. Step 5: Solve for x
    x = 57,089,023.50/8,438.73
  6. Step 6: Final answer
    x = 6,765.12

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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.