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Finding the Fourth Proportional to 11,626.54, 16,050.56 and 7,869.56

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Solution

The fourth proportional to 11,626.54, 16,050.56 and 7,869.56 is: 10,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.54 : 16,050.56 = 7,869.56 : x
  2. Step 2: Convert to fraction form
    11,626.54/16,050.56 = 7,869.56/x
  3. Step 3: Cross multiply
    11,626.54x = 16,050.56 × 7,869.56
  4. Step 4: Simplify right side
    11,626.54x = 126,310,725.35
  5. Step 5: Solve for x
    x = 126,310,725.35/11,626.54
  6. Step 6: Final answer
    x = 10,864.00

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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.