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Finding the Fourth Proportional to 10,385.49, 15,577.72 and 3,811.16

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Solution

The fourth proportional to 10,385.49, 15,577.72 and 3,811.16 is: 5,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.49 : 15,577.72 = 3,811.16 : x
  2. Step 2: Convert to fraction form
    10,385.49/15,577.72 = 3,811.16/x
  3. Step 3: Cross multiply
    10,385.49x = 15,577.72 × 3,811.16
  4. Step 4: Simplify right side
    10,385.49x = 59,369,183.36
  5. Step 5: Solve for x
    x = 59,369,183.36/10,385.49
  6. Step 6: Final answer
    x = 5,716.55

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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.