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Finding the Fourth Proportional to 7,123.24, 10,682.13 and 2,965.21

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Solution

The fourth proportional to 7,123.24, 10,682.13 and 2,965.21 is: 4,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.24 : 10,682.13 = 2,965.21 : x
  2. Step 2: Convert to fraction form
    7,123.24/10,682.13 = 2,965.21/x
  3. Step 3: Cross multiply
    7,123.24x = 10,682.13 × 2,965.21
  4. Step 4: Simplify right side
    7,123.24x = 31,674,726.43
  5. Step 5: Solve for x
    x = 31,674,726.43/7,123.24
  6. Step 6: Final answer
    x = 4,446.67

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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.