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Finding the Fourth Proportional to 10,846.09, 16,266.70 and 4,609.50

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Solution

The fourth proportional to 10,846.09, 16,266.70 and 4,609.50 is: 6,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.09 : 16,266.70 = 4,609.50 : x
  2. Step 2: Convert to fraction form
    10,846.09/16,266.70 = 4,609.50/x
  3. Step 3: Cross multiply
    10,846.09x = 16,266.70 × 4,609.50
  4. Step 4: Simplify right side
    10,846.09x = 74,981,353.65
  5. Step 5: Solve for x
    x = 74,981,353.65/10,846.09
  6. Step 6: Final answer
    x = 6,913.22

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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.