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Finding the Fourth Proportional to 8,462.46, 11,678.85 and 4,878.54

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Solution

The fourth proportional to 8,462.46, 11,678.85 and 4,878.54 is: 6,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.46 : 11,678.85 = 4,878.54 : x
  2. Step 2: Convert to fraction form
    8,462.46/11,678.85 = 4,878.54/x
  3. Step 3: Cross multiply
    8,462.46x = 11,678.85 × 4,878.54
  4. Step 4: Simplify right side
    8,462.46x = 56,975,736.88
  5. Step 5: Solve for x
    x = 56,975,736.88/8,462.46
  6. Step 6: Final answer
    x = 6,732.76

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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.