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Finding the Fourth Proportional to 10,477.56, 15,716.34 and 3,082.02

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Solution

The fourth proportional to 10,477.56, 15,716.34 and 3,082.02 is: 4,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.56 : 15,716.34 = 3,082.02 : x
  2. Step 2: Convert to fraction form
    10,477.56/15,716.34 = 3,082.02/x
  3. Step 3: Cross multiply
    10,477.56x = 15,716.34 × 3,082.02
  4. Step 4: Simplify right side
    10,477.56x = 48,438,006.60
  5. Step 5: Solve for x
    x = 48,438,006.60/10,477.56
  6. Step 6: Final answer
    x = 4,623.02

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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.