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Finding the Fourth Proportional to 7,816.34, 10,791.58 and 6,975.60

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Solution

The fourth proportional to 7,816.34, 10,791.58 and 6,975.60 is: 9,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.34 : 10,791.58 = 6,975.60 : x
  2. Step 2: Convert to fraction form
    7,816.34/10,791.58 = 6,975.60/x
  3. Step 3: Cross multiply
    7,816.34x = 10,791.58 × 6,975.60
  4. Step 4: Simplify right side
    7,816.34x = 75,277,745.45
  5. Step 5: Solve for x
    x = 75,277,745.45/7,816.34
  6. Step 6: Final answer
    x = 9,630.82

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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.