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Finding the Fourth Proportional to 11,038.06, 16,546.56 and 5,828.14

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Solution

The fourth proportional to 11,038.06, 16,546.56 and 5,828.14 is: 8,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.06 : 16,546.56 = 5,828.14 : x
  2. Step 2: Convert to fraction form
    11,038.06/16,546.56 = 5,828.14/x
  3. Step 3: Cross multiply
    11,038.06x = 16,546.56 × 5,828.14
  4. Step 4: Simplify right side
    11,038.06x = 96,435,668.20
  5. Step 5: Solve for x
    x = 96,435,668.20/11,038.06
  6. Step 6: Final answer
    x = 8,736.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.