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Finding the Fourth Proportional to 7,077.92, 10,617.13 and 1,883.80

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Solution

The fourth proportional to 7,077.92, 10,617.13 and 1,883.80 is: 2,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.92 : 10,617.13 = 1,883.80 : x
  2. Step 2: Convert to fraction form
    7,077.92/10,617.13 = 1,883.80/x
  3. Step 3: Cross multiply
    7,077.92x = 10,617.13 × 1,883.80
  4. Step 4: Simplify right side
    7,077.92x = 20,000,566.62
  5. Step 5: Solve for x
    x = 20,000,566.62/7,077.92
  6. Step 6: Final answer
    x = 2,825.77

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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.