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Finding the Fourth Proportional to 7,682.86, 11,524.24 and 3,303.39

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Solution

The fourth proportional to 7,682.86, 11,524.24 and 3,303.39 is: 4,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.86 : 11,524.24 = 3,303.39 : x
  2. Step 2: Convert to fraction form
    7,682.86/11,524.24 = 3,303.39/x
  3. Step 3: Cross multiply
    7,682.86x = 11,524.24 × 3,303.39
  4. Step 4: Simplify right side
    7,682.86x = 38,069,059.17
  5. Step 5: Solve for x
    x = 38,069,059.17/7,682.86
  6. Step 6: Final answer
    x = 4,955.06

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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.