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Finding the Fourth Proportional to 7,871.24, 10,862.40 and 4,334.48

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Solution

The fourth proportional to 7,871.24, 10,862.40 and 4,334.48 is: 5,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.24 : 10,862.40 = 4,334.48 : x
  2. Step 2: Convert to fraction form
    7,871.24/10,862.40 = 4,334.48/x
  3. Step 3: Cross multiply
    7,871.24x = 10,862.40 × 4,334.48
  4. Step 4: Simplify right side
    7,871.24x = 47,082,855.55
  5. Step 5: Solve for x
    x = 47,082,855.55/7,871.24
  6. Step 6: Final answer
    x = 5,981.63

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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.