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Finding the Fourth Proportional to 11,202.48, 16,804.68 and 3,804.48

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Solution

The fourth proportional to 11,202.48, 16,804.68 and 3,804.48 is: 5,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.48 : 16,804.68 = 3,804.48 : x
  2. Step 2: Convert to fraction form
    11,202.48/16,804.68 = 3,804.48/x
  3. Step 3: Cross multiply
    11,202.48x = 16,804.68 × 3,804.48
  4. Step 4: Simplify right side
    11,202.48x = 63,933,068.97
  5. Step 5: Solve for x
    x = 63,933,068.97/11,202.48
  6. Step 6: Final answer
    x = 5,707.05

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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.