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Finding the Fourth Proportional to 10,102.88, 13,941.97 and 5,911.94

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Solution

The fourth proportional to 10,102.88, 13,941.97 and 5,911.94 is: 8,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.88 : 13,941.97 = 5,911.94 : x
  2. Step 2: Convert to fraction form
    10,102.88/13,941.97 = 5,911.94/x
  3. Step 3: Cross multiply
    10,102.88x = 13,941.97 × 5,911.94
  4. Step 4: Simplify right side
    10,102.88x = 82,424,090.12
  5. Step 5: Solve for x
    x = 82,424,090.12/10,102.88
  6. Step 6: Final answer
    x = 8,158.47

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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.