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Finding the Fourth Proportional to 7,431.41, 10,256.00 and 4,074.87

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Solution

The fourth proportional to 7,431.41, 10,256.00 and 4,074.87 is: 5,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.41 : 10,256.00 = 4,074.87 : x
  2. Step 2: Convert to fraction form
    7,431.41/10,256.00 = 4,074.87/x
  3. Step 3: Cross multiply
    7,431.41x = 10,256.00 × 4,074.87
  4. Step 4: Simplify right side
    7,431.41x = 41,791,846.35
  5. Step 5: Solve for x
    x = 41,791,846.35/7,431.41
  6. Step 6: Final answer
    x = 5,623.67

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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.