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Finding the Fourth Proportional to 10,828.48, 14,947.68 and 8,176.48

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Solution

The fourth proportional to 10,828.48, 14,947.68 and 8,176.48 is: 11,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.48 : 14,947.68 = 8,176.48 : x
  2. Step 2: Convert to fraction form
    10,828.48/14,947.68 = 8,176.48/x
  3. Step 3: Cross multiply
    10,828.48x = 14,947.68 × 8,176.48
  4. Step 4: Simplify right side
    10,828.48x = 122,219,406.57
  5. Step 5: Solve for x
    x = 122,219,406.57/10,828.48
  6. Step 6: Final answer
    x = 11,286.85

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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.