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Finding the Fourth Proportional to 10,902.32, 16,354.02 and 3,112.28

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Solution

The fourth proportional to 10,902.32, 16,354.02 and 3,112.28 is: 4,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.32 : 16,354.02 = 3,112.28 : x
  2. Step 2: Convert to fraction form
    10,902.32/16,354.02 = 3,112.28/x
  3. Step 3: Cross multiply
    10,902.32x = 16,354.02 × 3,112.28
  4. Step 4: Simplify right side
    10,902.32x = 50,898,289.37
  5. Step 5: Solve for x
    x = 50,898,289.37/10,902.32
  6. Step 6: Final answer
    x = 4,668.57

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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.