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Finding the Fourth Proportional to 7,166.14, 10,751.73 and 2,237.02

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Solution

The fourth proportional to 7,166.14, 10,751.73 and 2,237.02 is: 3,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.14 : 10,751.73 = 2,237.02 : x
  2. Step 2: Convert to fraction form
    7,166.14/10,751.73 = 2,237.02/x
  3. Step 3: Cross multiply
    7,166.14x = 10,751.73 × 2,237.02
  4. Step 4: Simplify right side
    7,166.14x = 24,051,835.04
  5. Step 5: Solve for x
    x = 24,051,835.04/7,166.14
  6. Step 6: Final answer
    x = 3,356.32

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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.