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Finding the Fourth Proportional to 8,156.11, 11,257.65 and 4,800

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Solution

The fourth proportional to 8,156.11, 11,257.65 and 4,800 is: 6,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.11 : 11,257.65 = 4,800 : x
  2. Step 2: Convert to fraction form
    8,156.11/11,257.65 = 4,800/x
  3. Step 3: Cross multiply
    8,156.11x = 11,257.65 × 4,800
  4. Step 4: Simplify right side
    8,156.11x = 54,036,720
  5. Step 5: Solve for x
    x = 54,036,720/8,156.11
  6. Step 6: Final answer
    x = 6,625.31

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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.