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Finding the Fourth Proportional to 7,625.75, 11,451.34 and 5,142.93

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Solution

The fourth proportional to 7,625.75, 11,451.34 and 5,142.93 is: 7,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.75 : 11,451.34 = 5,142.93 : x
  2. Step 2: Convert to fraction form
    7,625.75/11,451.34 = 5,142.93/x
  3. Step 3: Cross multiply
    7,625.75x = 11,451.34 × 5,142.93
  4. Step 4: Simplify right side
    7,625.75x = 58,893,403.51
  5. Step 5: Solve for x
    x = 58,893,403.51/7,625.75
  6. Step 6: Final answer
    x = 7,722.97

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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.