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Finding the Fourth Proportional to 10,104.75, 13,945.50 and 5,913

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Solution

The fourth proportional to 10,104.75, 13,945.50 and 5,913 is: 8,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.75 : 13,945.50 = 5,913 : x
  2. Step 2: Convert to fraction form
    10,104.75/13,945.50 = 5,913/x
  3. Step 3: Cross multiply
    10,104.75x = 13,945.50 × 5,913
  4. Step 4: Simplify right side
    10,104.75x = 82,459,741.50
  5. Step 5: Solve for x
    x = 82,459,741.50/10,104.75
  6. Step 6: Final answer
    x = 8,160.49

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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.