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Finding the Fourth Proportional to 10,720.20, 16,077.78 and 2,927.16

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Solution

The fourth proportional to 10,720.20, 16,077.78 and 2,927.16 is: 4,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.20 : 16,077.78 = 2,927.16 : x
  2. Step 2: Convert to fraction form
    10,720.20/16,077.78 = 2,927.16/x
  3. Step 3: Cross multiply
    10,720.20x = 16,077.78 × 2,927.16
  4. Step 4: Simplify right side
    10,720.20x = 47,062,234.50
  5. Step 5: Solve for x
    x = 47,062,234.50/10,720.20
  6. Step 6: Final answer
    x = 4,390.05

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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.