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Finding the Fourth Proportional to 10,098.51, 13,933.83 and 5,849.32

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Solution

The fourth proportional to 10,098.51, 13,933.83 and 5,849.32 is: 8,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.51 : 13,933.83 = 5,849.32 : x
  2. Step 2: Convert to fraction form
    10,098.51/13,933.83 = 5,849.32/x
  3. Step 3: Cross multiply
    10,098.51x = 13,933.83 × 5,849.32
  4. Step 4: Simplify right side
    10,098.51x = 81,503,469.85
  5. Step 5: Solve for x
    x = 81,503,469.85/10,098.51
  6. Step 6: Final answer
    x = 8,070.84

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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.