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Finding the Fourth Proportional to 10,090.44, 13,932 and 7,747.92

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Solution

The fourth proportional to 10,090.44, 13,932 and 7,747.92 is: 10,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.44 : 13,932 = 7,747.92 : x
  2. Step 2: Convert to fraction form
    10,090.44/13,932 = 7,747.92/x
  3. Step 3: Cross multiply
    10,090.44x = 13,932 × 7,747.92
  4. Step 4: Simplify right side
    10,090.44x = 107,944,021.44
  5. Step 5: Solve for x
    x = 107,944,021.44/10,090.44
  6. Step 6: Final answer
    x = 10,697.65

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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.