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Finding the Fourth Proportional to 10,994.14, 15,171.92 and 5,958.40

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Solution

The fourth proportional to 10,994.14, 15,171.92 and 5,958.40 is: 8,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.14 : 15,171.92 = 5,958.40 : x
  2. Step 2: Convert to fraction form
    10,994.14/15,171.92 = 5,958.40/x
  3. Step 3: Cross multiply
    10,994.14x = 15,171.92 × 5,958.40
  4. Step 4: Simplify right side
    10,994.14x = 90,400,368.13
  5. Step 5: Solve for x
    x = 90,400,368.13/10,994.14
  6. Step 6: Final answer
    x = 8,222.60

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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.