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Finding the Fourth Proportional to 7,871.81, 10,863.06 and 4,335.02

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Solution

The fourth proportional to 7,871.81, 10,863.06 and 4,335.02 is: 5,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.81 : 10,863.06 = 4,335.02 : x
  2. Step 2: Convert to fraction form
    7,871.81/10,863.06 = 4,335.02/x
  3. Step 3: Cross multiply
    7,871.81x = 10,863.06 × 4,335.02
  4. Step 4: Simplify right side
    7,871.81x = 47,091,528.05
  5. Step 5: Solve for x
    x = 47,091,528.05/7,871.81
  6. Step 6: Final answer
    x = 5,982.30

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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.