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Finding the Fourth Proportional to 10,850.65, 16,275.92 and 4,609.70

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Solution

The fourth proportional to 10,850.65, 16,275.92 and 4,609.70 is: 6,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.65 : 16,275.92 = 4,609.70 : x
  2. Step 2: Convert to fraction form
    10,850.65/16,275.92 = 4,609.70/x
  3. Step 3: Cross multiply
    10,850.65x = 16,275.92 × 4,609.70
  4. Step 4: Simplify right side
    10,850.65x = 75,027,108.42
  5. Step 5: Solve for x
    x = 75,027,108.42/10,850.65
  6. Step 6: Final answer
    x = 6,914.53

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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.