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Finding the Fourth Proportional to 7,625.59, 11,434.63 and 3,181.92

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Solution

The fourth proportional to 7,625.59, 11,434.63 and 3,181.92 is: 4,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.59 : 11,434.63 = 3,181.92 : x
  2. Step 2: Convert to fraction form
    7,625.59/11,434.63 = 3,181.92/x
  3. Step 3: Cross multiply
    7,625.59x = 11,434.63 × 3,181.92
  4. Step 4: Simplify right side
    7,625.59x = 36,384,077.89
  5. Step 5: Solve for x
    x = 36,384,077.89/7,625.59
  6. Step 6: Final answer
    x = 4,771.31

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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.