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Finding the Fourth Proportional to 7,682.32, 11,512.68 and 4,390.48

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Solution

The fourth proportional to 7,682.32, 11,512.68 and 4,390.48 is: 6,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.32 : 11,512.68 = 4,390.48 : x
  2. Step 2: Convert to fraction form
    7,682.32/11,512.68 = 4,390.48/x
  3. Step 3: Cross multiply
    7,682.32x = 11,512.68 × 4,390.48
  4. Step 4: Simplify right side
    7,682.32x = 50,546,191.29
  5. Step 5: Solve for x
    x = 50,546,191.29/7,682.32
  6. Step 6: Final answer
    x = 6,579.55

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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.