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Finding the Fourth Proportional to 8,571.65, 12,852.70 and 2,646.86

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Solution

The fourth proportional to 8,571.65, 12,852.70 and 2,646.86 is: 3,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.65 : 12,852.70 = 2,646.86 : x
  2. Step 2: Convert to fraction form
    8,571.65/12,852.70 = 2,646.86/x
  3. Step 3: Cross multiply
    8,571.65x = 12,852.70 × 2,646.86
  4. Step 4: Simplify right side
    8,571.65x = 34,019,297.52
  5. Step 5: Solve for x
    x = 34,019,297.52/8,571.65
  6. Step 6: Final answer
    x = 3,968.82

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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.