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Finding the Fourth Proportional to 7,823.29, 10,796.05 and 4,238.20

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Solution

The fourth proportional to 7,823.29, 10,796.05 and 4,238.20 is: 5,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.29 : 10,796.05 = 4,238.20 : x
  2. Step 2: Convert to fraction form
    7,823.29/10,796.05 = 4,238.20/x
  3. Step 3: Cross multiply
    7,823.29x = 10,796.05 × 4,238.20
  4. Step 4: Simplify right side
    7,823.29x = 45,755,819.11
  5. Step 5: Solve for x
    x = 45,755,819.11/7,823.29
  6. Step 6: Final answer
    x = 5,848.67

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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.