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Finding the Fourth Proportional to 7,459.56, 10,292.74 and 4,474.31

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Solution

The fourth proportional to 7,459.56, 10,292.74 and 4,474.31 is: 6,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.56 : 10,292.74 = 4,474.31 : x
  2. Step 2: Convert to fraction form
    7,459.56/10,292.74 = 4,474.31/x
  3. Step 3: Cross multiply
    7,459.56x = 10,292.74 × 4,474.31
  4. Step 4: Simplify right side
    7,459.56x = 46,052,846.86
  5. Step 5: Solve for x
    x = 46,052,846.86/7,459.56
  6. Step 6: Final answer
    x = 6,173.67

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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.