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Finding the Fourth Proportional to 7,912.50, 11,858.28 and 4,206.75

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Solution

The fourth proportional to 7,912.50, 11,858.28 and 4,206.75 is: 6,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.50 : 11,858.28 = 4,206.75 : x
  2. Step 2: Convert to fraction form
    7,912.50/11,858.28 = 4,206.75/x
  3. Step 3: Cross multiply
    7,912.50x = 11,858.28 × 4,206.75
  4. Step 4: Simplify right side
    7,912.50x = 49,884,848.08
  5. Step 5: Solve for x
    x = 49,884,848.08/7,912.50
  6. Step 6: Final answer
    x = 6,304.56

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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.