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Finding the Fourth Proportional to 11,292.75, 15,584.55 and 6,816.42

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Solution

The fourth proportional to 11,292.75, 15,584.55 and 6,816.42 is: 9,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.75 : 15,584.55 = 6,816.42 : x
  2. Step 2: Convert to fraction form
    11,292.75/15,584.55 = 6,816.42/x
  3. Step 3: Cross multiply
    11,292.75x = 15,584.55 × 6,816.42
  4. Step 4: Simplify right side
    11,292.75x = 106,230,838.31
  5. Step 5: Solve for x
    x = 106,230,838.31/11,292.75
  6. Step 6: Final answer
    x = 9,406.99

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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.