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Finding the Fourth Proportional to 8,582.54, 12,871.71 and 2,737.94

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Solution

The fourth proportional to 8,582.54, 12,871.71 and 2,737.94 is: 4,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.54 : 12,871.71 = 2,737.94 : x
  2. Step 2: Convert to fraction form
    8,582.54/12,871.71 = 2,737.94/x
  3. Step 3: Cross multiply
    8,582.54x = 12,871.71 × 2,737.94
  4. Step 4: Simplify right side
    8,582.54x = 35,241,969.68
  5. Step 5: Solve for x
    x = 35,241,969.68/8,582.54
  6. Step 6: Final answer
    x = 4,106.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.