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Finding the Fourth Proportional to 10,828.69, 16,243.67 and 3,038.11

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Solution

The fourth proportional to 10,828.69, 16,243.67 and 3,038.11 is: 4,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.69 : 16,243.67 = 3,038.11 : x
  2. Step 2: Convert to fraction form
    10,828.69/16,243.67 = 3,038.11/x
  3. Step 3: Cross multiply
    10,828.69x = 16,243.67 × 3,038.11
  4. Step 4: Simplify right side
    10,828.69x = 49,350,023.25
  5. Step 5: Solve for x
    x = 49,350,023.25/10,828.69
  6. Step 6: Final answer
    x = 4,557.34

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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.