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Finding the Fourth Proportional to 11,204.81, 16,803.22 and 3,707

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Solution

The fourth proportional to 11,204.81, 16,803.22 and 3,707 is: 5,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.81 : 16,803.22 = 3,707 : x
  2. Step 2: Convert to fraction form
    11,204.81/16,803.22 = 3,707/x
  3. Step 3: Cross multiply
    11,204.81x = 16,803.22 × 3,707
  4. Step 4: Simplify right side
    11,204.81x = 62,289,536.54
  5. Step 5: Solve for x
    x = 62,289,536.54/11,204.81
  6. Step 6: Final answer
    x = 5,559.18

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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.