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Finding the Fourth Proportional to 10,236.72, 15,358.32 and 3,662.80

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Solution

The fourth proportional to 10,236.72, 15,358.32 and 3,662.80 is: 5,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.72 : 15,358.32 = 3,662.80 : x
  2. Step 2: Convert to fraction form
    10,236.72/15,358.32 = 3,662.80/x
  3. Step 3: Cross multiply
    10,236.72x = 15,358.32 × 3,662.80
  4. Step 4: Simplify right side
    10,236.72x = 56,254,454.50
  5. Step 5: Solve for x
    x = 56,254,454.50/10,236.72
  6. Step 6: Final answer
    x = 5,495.36

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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.