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Finding the Fourth Proportional to 8,455.42, 11,670.82 and 4,919.30

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Solution

The fourth proportional to 8,455.42, 11,670.82 and 4,919.30 is: 6,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.42 : 11,670.82 = 4,919.30 : x
  2. Step 2: Convert to fraction form
    8,455.42/11,670.82 = 4,919.30/x
  3. Step 3: Cross multiply
    8,455.42x = 11,670.82 × 4,919.30
  4. Step 4: Simplify right side
    8,455.42x = 57,412,237.94
  5. Step 5: Solve for x
    x = 57,412,237.94/8,455.42
  6. Step 6: Final answer
    x = 6,789.99

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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.