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Finding the Fourth Proportional to 10,173.86, 14,040.82 and 5,697.54

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Solution

The fourth proportional to 10,173.86, 14,040.82 and 5,697.54 is: 7,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.86 : 14,040.82 = 5,697.54 : x
  2. Step 2: Convert to fraction form
    10,173.86/14,040.82 = 5,697.54/x
  3. Step 3: Cross multiply
    10,173.86x = 14,040.82 × 5,697.54
  4. Step 4: Simplify right side
    10,173.86x = 79,998,133.58
  5. Step 5: Solve for x
    x = 79,998,133.58/10,173.86
  6. Step 6: Final answer
    x = 7,863.11

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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.