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Finding the Fourth Proportional to 10,113.76, 13,958.20 and 5,922

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Solution

The fourth proportional to 10,113.76, 13,958.20 and 5,922 is: 8,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.76 : 13,958.20 = 5,922 : x
  2. Step 2: Convert to fraction form
    10,113.76/13,958.20 = 5,922/x
  3. Step 3: Cross multiply
    10,113.76x = 13,958.20 × 5,922
  4. Step 4: Simplify right side
    10,113.76x = 82,660,460.40
  5. Step 5: Solve for x
    x = 82,660,460.40/10,113.76
  6. Step 6: Final answer
    x = 8,173.07

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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.