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Finding the Fourth Proportional to 10,902.83, 16,354.26 and 3,111.64

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Solution

The fourth proportional to 10,902.83, 16,354.26 and 3,111.64 is: 4,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.83 : 16,354.26 = 3,111.64 : x
  2. Step 2: Convert to fraction form
    10,902.83/16,354.26 = 3,111.64/x
  3. Step 3: Cross multiply
    10,902.83x = 16,354.26 × 3,111.64
  4. Step 4: Simplify right side
    10,902.83x = 50,888,590.03
  5. Step 5: Solve for x
    x = 50,888,590.03/10,902.83
  6. Step 6: Final answer
    x = 4,667.47

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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.