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Finding the Fourth Proportional to 11,699.26, 16,142.40 and 7,448.78

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Solution

The fourth proportional to 11,699.26, 16,142.40 and 7,448.78 is: 10,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.26 : 16,142.40 = 7,448.78 : x
  2. Step 2: Convert to fraction form
    11,699.26/16,142.40 = 7,448.78/x
  3. Step 3: Cross multiply
    11,699.26x = 16,142.40 × 7,448.78
  4. Step 4: Simplify right side
    11,699.26x = 120,241,186.27
  5. Step 5: Solve for x
    x = 120,241,186.27/11,699.26
  6. Step 6: Final answer
    x = 10,277.67

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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.