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Finding the Fourth Proportional to 28,872.75, 43,309.13 and 6,984.75

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Solution

The fourth proportional to 28,872.75, 43,309.13 and 6,984.75 is: 10,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,872.75 : 43,309.13 = 6,984.75 : x
  2. Step 2: Convert to fraction form
    28,872.75/43,309.13 = 6,984.75/x
  3. Step 3: Cross multiply
    28,872.75x = 43,309.13 × 6,984.75
  4. Step 4: Simplify right side
    28,872.75x = 302,503,410.84
  5. Step 5: Solve for x
    x = 302,503,410.84/28,872.75
  6. Step 6: Final answer
    x = 10,477.13

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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.