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Finding the Fourth Proportional to 10,383.80, 14,329.10 and 5,667.17

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Solution

The fourth proportional to 10,383.80, 14,329.10 and 5,667.17 is: 7,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.80 : 14,329.10 = 5,667.17 : x
  2. Step 2: Convert to fraction form
    10,383.80/14,329.10 = 5,667.17/x
  3. Step 3: Cross multiply
    10,383.80x = 14,329.10 × 5,667.17
  4. Step 4: Simplify right side
    10,383.80x = 81,205,388.17
  5. Step 5: Solve for x
    x = 81,205,388.17/10,383.80
  6. Step 6: Final answer
    x = 7,820.40

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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.