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Finding the Fourth Proportional to 7,082.72, 10,624.30 and 2,152.40

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Solution

The fourth proportional to 7,082.72, 10,624.30 and 2,152.40 is: 3,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.72 : 10,624.30 = 2,152.40 : x
  2. Step 2: Convert to fraction form
    7,082.72/10,624.30 = 2,152.40/x
  3. Step 3: Cross multiply
    7,082.72x = 10,624.30 × 2,152.40
  4. Step 4: Simplify right side
    7,082.72x = 22,867,756.69
  5. Step 5: Solve for x
    x = 22,867,756.69/7,082.72
  6. Step 6: Final answer
    x = 3,228.67

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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.