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Finding the Fourth Proportional to 10,828, 16,244.73 and 3,036.81

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Solution

The fourth proportional to 10,828, 16,244.73 and 3,036.81 is: 4,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828 : 16,244.73 = 3,036.81 : x
  2. Step 2: Convert to fraction form
    10,828/16,244.73 = 3,036.81/x
  3. Step 3: Cross multiply
    10,828x = 16,244.73 × 3,036.81
  4. Step 4: Simplify right side
    10,828x = 49,332,158.51
  5. Step 5: Solve for x
    x = 49,332,158.51/10,828
  6. Step 6: Final answer
    x = 4,555.98

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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.