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Finding the Fourth Proportional to 10,795.48, 16,194.29 and 3,004.29

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Solution

The fourth proportional to 10,795.48, 16,194.29 and 3,004.29 is: 4,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.48 : 16,194.29 = 3,004.29 : x
  2. Step 2: Convert to fraction form
    10,795.48/16,194.29 = 3,004.29/x
  3. Step 3: Cross multiply
    10,795.48x = 16,194.29 × 3,004.29
  4. Step 4: Simplify right side
    10,795.48x = 48,652,343.50
  5. Step 5: Solve for x
    x = 48,652,343.50/10,795.48
  6. Step 6: Final answer
    x = 4,506.73

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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.