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Finding the Fourth Proportional to 10,861.02, 16,291.53 and 3,069.84

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Solution

The fourth proportional to 10,861.02, 16,291.53 and 3,069.84 is: 4,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.02 : 16,291.53 = 3,069.84 : x
  2. Step 2: Convert to fraction form
    10,861.02/16,291.53 = 3,069.84/x
  3. Step 3: Cross multiply
    10,861.02x = 16,291.53 × 3,069.84
  4. Step 4: Simplify right side
    10,861.02x = 50,012,390.46
  5. Step 5: Solve for x
    x = 50,012,390.46/10,861.02
  6. Step 6: Final answer
    x = 4,604.76

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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.