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Finding the Fourth Proportional to 7,682.27, 10,602.14 and 4,324.88

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Solution

The fourth proportional to 7,682.27, 10,602.14 and 4,324.88 is: 5,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.27 : 10,602.14 = 4,324.88 : x
  2. Step 2: Convert to fraction form
    7,682.27/10,602.14 = 4,324.88/x
  3. Step 3: Cross multiply
    7,682.27x = 10,602.14 × 4,324.88
  4. Step 4: Simplify right side
    7,682.27x = 45,852,908.61
  5. Step 5: Solve for x
    x = 45,852,908.61/7,682.27
  6. Step 6: Final answer
    x = 5,968.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.