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Finding the Fourth Proportional to 7,871.41, 10,862.40 and 4,334.55

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Solution

The fourth proportional to 7,871.41, 10,862.40 and 4,334.55 is: 5,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.41 : 10,862.40 = 4,334.55 : x
  2. Step 2: Convert to fraction form
    7,871.41/10,862.40 = 4,334.55/x
  3. Step 3: Cross multiply
    7,871.41x = 10,862.40 × 4,334.55
  4. Step 4: Simplify right side
    7,871.41x = 47,083,615.92
  5. Step 5: Solve for x
    x = 47,083,615.92/7,871.41
  6. Step 6: Final answer
    x = 5,981.60

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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.