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Finding the Fourth Proportional to 11,804.80, 17,684.52 and 6,594.88

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Solution

The fourth proportional to 11,804.80, 17,684.52 and 6,594.88 is: 9,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.80 : 17,684.52 = 6,594.88 : x
  2. Step 2: Convert to fraction form
    11,804.80/17,684.52 = 6,594.88/x
  3. Step 3: Cross multiply
    11,804.80x = 17,684.52 × 6,594.88
  4. Step 4: Simplify right side
    11,804.80x = 116,627,287.26
  5. Step 5: Solve for x
    x = 116,627,287.26/11,804.80
  6. Step 6: Final answer
    x = 9,879.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.