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Finding the Fourth Proportional to 11,290.85, 15,584.62 and 6,813.84

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Solution

The fourth proportional to 11,290.85, 15,584.62 and 6,813.84 is: 9,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.85 : 15,584.62 = 6,813.84 : x
  2. Step 2: Convert to fraction form
    11,290.85/15,584.62 = 6,813.84/x
  3. Step 3: Cross multiply
    11,290.85x = 15,584.62 × 6,813.84
  4. Step 4: Simplify right side
    11,290.85x = 106,191,161.32
  5. Step 5: Solve for x
    x = 106,191,161.32/11,290.85
  6. Step 6: Final answer
    x = 9,405.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.