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Finding the Fourth Proportional to 10,203.40, 14,082.11 and 5,667.10

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Solution

The fourth proportional to 10,203.40, 14,082.11 and 5,667.10 is: 7,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.40 : 14,082.11 = 5,667.10 : x
  2. Step 2: Convert to fraction form
    10,203.40/14,082.11 = 5,667.10/x
  3. Step 3: Cross multiply
    10,203.40x = 14,082.11 × 5,667.10
  4. Step 4: Simplify right side
    10,203.40x = 79,804,725.58
  5. Step 5: Solve for x
    x = 79,804,725.58/10,203.40
  6. Step 6: Final answer
    x = 7,821.39

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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.