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Finding the Fourth Proportional to 10,477.78, 15,716.67 and 3,082.24

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Solution

The fourth proportional to 10,477.78, 15,716.67 and 3,082.24 is: 4,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.78 : 15,716.67 = 3,082.24 : x
  2. Step 2: Convert to fraction form
    10,477.78/15,716.67 = 3,082.24/x
  3. Step 3: Cross multiply
    10,477.78x = 15,716.67 × 3,082.24
  4. Step 4: Simplify right side
    10,477.78x = 48,442,454.95
  5. Step 5: Solve for x
    x = 48,442,454.95/10,477.78
  6. Step 6: Final answer
    x = 4,623.35

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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.