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Finding the Fourth Proportional to 7,486.96, 11,220.36 and 4,147.34

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Solution

The fourth proportional to 7,486.96, 11,220.36 and 4,147.34 is: 6,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.96 : 11,220.36 = 4,147.34 : x
  2. Step 2: Convert to fraction form
    7,486.96/11,220.36 = 4,147.34/x
  3. Step 3: Cross multiply
    7,486.96x = 11,220.36 × 4,147.34
  4. Step 4: Simplify right side
    7,486.96x = 46,534,647.84
  5. Step 5: Solve for x
    x = 46,534,647.84/7,486.96
  6. Step 6: Final answer
    x = 6,215.43

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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.