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Finding the Fourth Proportional to 11,516.96, 15,892.52 and 6,800.34

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Solution

The fourth proportional to 11,516.96, 15,892.52 and 6,800.34 is: 9,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.96 : 15,892.52 = 6,800.34 : x
  2. Step 2: Convert to fraction form
    11,516.96/15,892.52 = 6,800.34/x
  3. Step 3: Cross multiply
    11,516.96x = 15,892.52 × 6,800.34
  4. Step 4: Simplify right side
    11,516.96x = 108,074,539.46
  5. Step 5: Solve for x
    x = 108,074,539.46/11,516.96
  6. Step 6: Final answer
    x = 9,383.95

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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.