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Finding the Fourth Proportional to 11,804.14, 17,708.03 and 4,011.13

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Solution

The fourth proportional to 11,804.14, 17,708.03 and 4,011.13 is: 6,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.14 : 17,708.03 = 4,011.13 : x
  2. Step 2: Convert to fraction form
    11,804.14/17,708.03 = 4,011.13/x
  3. Step 3: Cross multiply
    11,804.14x = 17,708.03 × 4,011.13
  4. Step 4: Simplify right side
    11,804.14x = 71,029,101.78
  5. Step 5: Solve for x
    x = 71,029,101.78/11,804.14
  6. Step 6: Final answer
    x = 6,017.31

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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.