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Finding the Fourth Proportional to 10,133.67, 13,982 and 5,941.11

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Solution

The fourth proportional to 10,133.67, 13,982 and 5,941.11 is: 8,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.67 : 13,982 = 5,941.11 : x
  2. Step 2: Convert to fraction form
    10,133.67/13,982 = 5,941.11/x
  3. Step 3: Cross multiply
    10,133.67x = 13,982 × 5,941.11
  4. Step 4: Simplify right side
    10,133.67x = 83,068,600.02
  5. Step 5: Solve for x
    x = 83,068,600.02/10,133.67
  6. Step 6: Final answer
    x = 8,197.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.