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Finding the Fourth Proportional to 10,032.34, 13,844.74 and 5,556.17

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Solution

The fourth proportional to 10,032.34, 13,844.74 and 5,556.17 is: 7,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.34 : 13,844.74 = 5,556.17 : x
  2. Step 2: Convert to fraction form
    10,032.34/13,844.74 = 5,556.17/x
  3. Step 3: Cross multiply
    10,032.34x = 13,844.74 × 5,556.17
  4. Step 4: Simplify right side
    10,032.34x = 76,923,659.82
  5. Step 5: Solve for x
    x = 76,923,659.82/10,032.34
  6. Step 6: Final answer
    x = 7,667.57

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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.