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Finding the Fourth Proportional to 10,098.29, 13,933.53 and 5,849.09

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Solution

The fourth proportional to 10,098.29, 13,933.53 and 5,849.09 is: 8,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.29 : 13,933.53 = 5,849.09 : x
  2. Step 2: Convert to fraction form
    10,098.29/13,933.53 = 5,849.09/x
  3. Step 3: Cross multiply
    10,098.29x = 13,933.53 × 5,849.09
  4. Step 4: Simplify right side
    10,098.29x = 81,498,515.50
  5. Step 5: Solve for x
    x = 81,498,515.50/10,098.29
  6. Step 6: Final answer
    x = 8,070.53

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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.