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Finding the Fourth Proportional to 7,849.83, 10,833 and 4,493.72

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Solution

The fourth proportional to 7,849.83, 10,833 and 4,493.72 is: 6,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.83 : 10,833 = 4,493.72 : x
  2. Step 2: Convert to fraction form
    7,849.83/10,833 = 4,493.72/x
  3. Step 3: Cross multiply
    7,849.83x = 10,833 × 4,493.72
  4. Step 4: Simplify right side
    7,849.83x = 48,680,414.60
  5. Step 5: Solve for x
    x = 48,680,414.60/7,849.83
  6. Step 6: Final answer
    x = 6,201.46

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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.