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Finding the Fourth Proportional to 6,785.85, 10,178.90 and 4,460.67

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Solution

The fourth proportional to 6,785.85, 10,178.90 and 4,460.67 is: 6,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.85 : 10,178.90 = 4,460.67 : x
  2. Step 2: Convert to fraction form
    6,785.85/10,178.90 = 4,460.67/x
  3. Step 3: Cross multiply
    6,785.85x = 10,178.90 × 4,460.67
  4. Step 4: Simplify right side
    6,785.85x = 45,404,713.86
  5. Step 5: Solve for x
    x = 45,404,713.86/6,785.85
  6. Step 6: Final answer
    x = 6,691.09

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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.