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Finding the Fourth Proportional to 7,926.50, 11,889.84 and 3,309.50

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Solution

The fourth proportional to 7,926.50, 11,889.84 and 3,309.50 is: 4,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.50 : 11,889.84 = 3,309.50 : x
  2. Step 2: Convert to fraction form
    7,926.50/11,889.84 = 3,309.50/x
  3. Step 3: Cross multiply
    7,926.50x = 11,889.84 × 3,309.50
  4. Step 4: Simplify right side
    7,926.50x = 39,349,425.48
  5. Step 5: Solve for x
    x = 39,349,425.48/7,926.50
  6. Step 6: Final answer
    x = 4,964.29

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