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Finding the Fourth Proportional to 10,735.44, 16,102.98 and 2,943.96

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Solution

The fourth proportional to 10,735.44, 16,102.98 and 2,943.96 is: 4,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.44 : 16,102.98 = 2,943.96 : x
  2. Step 2: Convert to fraction form
    10,735.44/16,102.98 = 2,943.96/x
  3. Step 3: Cross multiply
    10,735.44x = 16,102.98 × 2,943.96
  4. Step 4: Simplify right side
    10,735.44x = 47,406,529.00
  5. Step 5: Solve for x
    x = 47,406,529.00/10,735.44
  6. Step 6: Final answer
    x = 4,415.89

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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.