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Finding the Fourth Proportional to 28,568.94, 42,858.63 and 8,846.16

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Solution

The fourth proportional to 28,568.94, 42,858.63 and 8,846.16 is: 13,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,568.94 : 42,858.63 = 8,846.16 : x
  2. Step 2: Convert to fraction form
    28,568.94/42,858.63 = 8,846.16/x
  3. Step 3: Cross multiply
    28,568.94x = 42,858.63 × 8,846.16
  4. Step 4: Simplify right side
    28,568.94x = 379,134,039.84
  5. Step 5: Solve for x
    x = 379,134,039.84/28,568.94
  6. Step 6: Final answer
    x = 13,270.85

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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.