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Finding the Fourth Proportional to 7,101.96, 9,800.51 and 4,450.83

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Solution

The fourth proportional to 7,101.96, 9,800.51 and 4,450.83 is: 6,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.96 : 9,800.51 = 4,450.83 : x
  2. Step 2: Convert to fraction form
    7,101.96/9,800.51 = 4,450.83/x
  3. Step 3: Cross multiply
    7,101.96x = 9,800.51 × 4,450.83
  4. Step 4: Simplify right side
    7,101.96x = 43,620,381.67
  5. Step 5: Solve for x
    x = 43,620,381.67/7,101.96
  6. Step 6: Final answer
    x = 6,142.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.