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Finding the Fourth Proportional to 7,686.90, 11,524.55 and 3,245.94

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Solution

The fourth proportional to 7,686.90, 11,524.55 and 3,245.94 is: 4,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.90 : 11,524.55 = 3,245.94 : x
  2. Step 2: Convert to fraction form
    7,686.90/11,524.55 = 3,245.94/x
  3. Step 3: Cross multiply
    7,686.90x = 11,524.55 × 3,245.94
  4. Step 4: Simplify right side
    7,686.90x = 37,407,981.60
  5. Step 5: Solve for x
    x = 37,407,981.60/7,686.90
  6. Step 6: Final answer
    x = 4,866.46

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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.