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Finding the Fourth Proportional to 7,871.47, 10,862.44 and 4,516.25

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Solution

The fourth proportional to 7,871.47, 10,862.44 and 4,516.25 is: 6,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.47 : 10,862.44 = 4,516.25 : x
  2. Step 2: Convert to fraction form
    7,871.47/10,862.44 = 4,516.25/x
  3. Step 3: Cross multiply
    7,871.47x = 10,862.44 × 4,516.25
  4. Step 4: Simplify right side
    7,871.47x = 49,057,429.05
  5. Step 5: Solve for x
    x = 49,057,429.05/7,871.47
  6. Step 6: Final answer
    x = 6,232.31

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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.