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Finding the Fourth Proportional to 7,453.58, 10,286.20 and 4,096.76

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Solution

The fourth proportional to 7,453.58, 10,286.20 and 4,096.76 is: 5,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.58 : 10,286.20 = 4,096.76 : x
  2. Step 2: Convert to fraction form
    7,453.58/10,286.20 = 4,096.76/x
  3. Step 3: Cross multiply
    7,453.58x = 10,286.20 × 4,096.76
  4. Step 4: Simplify right side
    7,453.58x = 42,140,092.71
  5. Step 5: Solve for x
    x = 42,140,092.71/7,453.58
  6. Step 6: Final answer
    x = 5,653.67

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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.