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Finding the Fourth Proportional to 11,804.34, 17,709.36 and 5,232.42

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Solution

The fourth proportional to 11,804.34, 17,709.36 and 5,232.42 is: 7,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.34 : 17,709.36 = 5,232.42 : x
  2. Step 2: Convert to fraction form
    11,804.34/17,709.36 = 5,232.42/x
  3. Step 3: Cross multiply
    11,804.34x = 17,709.36 × 5,232.42
  4. Step 4: Simplify right side
    11,804.34x = 92,662,809.45
  5. Step 5: Solve for x
    x = 92,662,809.45/11,804.34
  6. Step 6: Final answer
    x = 7,849.89

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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.