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Finding the Fourth Proportional to 7,871.80, 10,862.75 and 4,334.94

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Solution

The fourth proportional to 7,871.80, 10,862.75 and 4,334.94 is: 5,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.80 : 10,862.75 = 4,334.94 : x
  2. Step 2: Convert to fraction form
    7,871.80/10,862.75 = 4,334.94/x
  3. Step 3: Cross multiply
    7,871.80x = 10,862.75 × 4,334.94
  4. Step 4: Simplify right side
    7,871.80x = 47,089,369.49
  5. Step 5: Solve for x
    x = 47,089,369.49/7,871.80
  6. Step 6: Final answer
    x = 5,982.03

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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.