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Finding the Fourth Proportional to 7,682.63, 11,533.67 and 4,713.78

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Solution

The fourth proportional to 7,682.63, 11,533.67 and 4,713.78 is: 7,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.63 : 11,533.67 = 4,713.78 : x
  2. Step 2: Convert to fraction form
    7,682.63/11,533.67 = 4,713.78/x
  3. Step 3: Cross multiply
    7,682.63x = 11,533.67 × 4,713.78
  4. Step 4: Simplify right side
    7,682.63x = 54,367,101.74
  5. Step 5: Solve for x
    x = 54,367,101.74/7,682.63
  6. Step 6: Final answer
    x = 7,076.63

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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.