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Finding the Fourth Proportional to 6,761.83, 10,146.32 and 4,800.13

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Solution

The fourth proportional to 6,761.83, 10,146.32 and 4,800.13 is: 7,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.83 : 10,146.32 = 4,800.13 : x
  2. Step 2: Convert to fraction form
    6,761.83/10,146.32 = 4,800.13/x
  3. Step 3: Cross multiply
    6,761.83x = 10,146.32 × 4,800.13
  4. Step 4: Simplify right side
    6,761.83x = 48,703,655.02
  5. Step 5: Solve for x
    x = 48,703,655.02/6,761.83
  6. Step 6: Final answer
    x = 7,202.73

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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.