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Finding the Fourth Proportional to 7,314.37, 10,952.84 and 4,023.83

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Solution

The fourth proportional to 7,314.37, 10,952.84 and 4,023.83 is: 6,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.37 : 10,952.84 = 4,023.83 : x
  2. Step 2: Convert to fraction form
    7,314.37/10,952.84 = 4,023.83/x
  3. Step 3: Cross multiply
    7,314.37x = 10,952.84 × 4,023.83
  4. Step 4: Simplify right side
    7,314.37x = 44,072,403.62
  5. Step 5: Solve for x
    x = 44,072,403.62/7,314.37
  6. Step 6: Final answer
    x = 6,025.46

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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.