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Finding the Fourth Proportional to 10,777.64, 16,158.68 and 3,378.12

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Solution

The fourth proportional to 10,777.64, 16,158.68 and 3,378.12 is: 5,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.64 : 16,158.68 = 3,378.12 : x
  2. Step 2: Convert to fraction form
    10,777.64/16,158.68 = 3,378.12/x
  3. Step 3: Cross multiply
    10,777.64x = 16,158.68 × 3,378.12
  4. Step 4: Simplify right side
    10,777.64x = 54,585,960.08
  5. Step 5: Solve for x
    x = 54,585,960.08/10,777.64
  6. Step 6: Final answer
    x = 5,064.74

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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.