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Finding the Fourth Proportional to 6,776.92, 10,152.24 and 4,145.14

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Solution

The fourth proportional to 6,776.92, 10,152.24 and 4,145.14 is: 6,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.92 : 10,152.24 = 4,145.14 : x
  2. Step 2: Convert to fraction form
    6,776.92/10,152.24 = 4,145.14/x
  3. Step 3: Cross multiply
    6,776.92x = 10,152.24 × 4,145.14
  4. Step 4: Simplify right side
    6,776.92x = 42,082,456.11
  5. Step 5: Solve for x
    x = 42,082,456.11/6,776.92
  6. Step 6: Final answer
    x = 6,209.67

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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.