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Finding the Fourth Proportional to 11,776.07, 16,258.11 and 7,800.59

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Solution

The fourth proportional to 11,776.07, 16,258.11 and 7,800.59 is: 10,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.07 : 16,258.11 = 7,800.59 : x
  2. Step 2: Convert to fraction form
    11,776.07/16,258.11 = 7,800.59/x
  3. Step 3: Cross multiply
    11,776.07x = 16,258.11 × 7,800.59
  4. Step 4: Simplify right side
    11,776.07x = 126,822,850.28
  5. Step 5: Solve for x
    x = 126,822,850.28/11,776.07
  6. Step 6: Final answer
    x = 10,769.54

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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.