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Finding the Fourth Proportional to 10,811.51, 16,211.50 and 3,313.75

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Solution

The fourth proportional to 10,811.51, 16,211.50 and 3,313.75 is: 4,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.51 : 16,211.50 = 3,313.75 : x
  2. Step 2: Convert to fraction form
    10,811.51/16,211.50 = 3,313.75/x
  3. Step 3: Cross multiply
    10,811.51x = 16,211.50 × 3,313.75
  4. Step 4: Simplify right side
    10,811.51x = 53,720,809.31
  5. Step 5: Solve for x
    x = 53,720,809.31/10,811.51
  6. Step 6: Final answer
    x = 4,968.85

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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.