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Finding the Fourth Proportional to 10,498.12, 15,749.94 and 3,835.21

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Solution

The fourth proportional to 10,498.12, 15,749.94 and 3,835.21 is: 5,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.12 : 15,749.94 = 3,835.21 : x
  2. Step 2: Convert to fraction form
    10,498.12/15,749.94 = 3,835.21/x
  3. Step 3: Cross multiply
    10,498.12x = 15,749.94 × 3,835.21
  4. Step 4: Simplify right side
    10,498.12x = 60,404,327.39
  5. Step 5: Solve for x
    x = 60,404,327.39/10,498.12
  6. Step 6: Final answer
    x = 5,753.82

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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.