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Finding the Fourth Proportional to 10,174.40, 14,040.90 and 5,697.93

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Solution

The fourth proportional to 10,174.40, 14,040.90 and 5,697.93 is: 7,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.40 : 14,040.90 = 5,697.93 : x
  2. Step 2: Convert to fraction form
    10,174.40/14,040.90 = 5,697.93/x
  3. Step 3: Cross multiply
    10,174.40x = 14,040.90 × 5,697.93
  4. Step 4: Simplify right side
    10,174.40x = 80,004,065.34
  5. Step 5: Solve for x
    x = 80,004,065.34/10,174.40
  6. Step 6: Final answer
    x = 7,863.27

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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.