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Finding the Fourth Proportional to 7,162.24, 9,883.74 and 3,975.35

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Solution

The fourth proportional to 7,162.24, 9,883.74 and 3,975.35 is: 5,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.24 : 9,883.74 = 3,975.35 : x
  2. Step 2: Convert to fraction form
    7,162.24/9,883.74 = 3,975.35/x
  3. Step 3: Cross multiply
    7,162.24x = 9,883.74 × 3,975.35
  4. Step 4: Simplify right side
    7,162.24x = 39,291,350.52
  5. Step 5: Solve for x
    x = 39,291,350.52/7,162.24
  6. Step 6: Final answer
    x = 5,485.90

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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.