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Finding the Fourth Proportional to 7,329.42, 10,092.87 and 7,165.98

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Solution

The fourth proportional to 7,329.42, 10,092.87 and 7,165.98 is: 9,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.42 : 10,092.87 = 7,165.98 : x
  2. Step 2: Convert to fraction form
    7,329.42/10,092.87 = 7,165.98/x
  3. Step 3: Cross multiply
    7,329.42x = 10,092.87 × 7,165.98
  4. Step 4: Simplify right side
    7,329.42x = 72,325,304.56
  5. Step 5: Solve for x
    x = 72,325,304.56/7,329.42
  6. Step 6: Final answer
    x = 9,867.81

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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.