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Finding the Fourth Proportional to 10,383.52, 14,329.20 and 5,667.70

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Solution

The fourth proportional to 10,383.52, 14,329.20 and 5,667.70 is: 7,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.52 : 14,329.20 = 5,667.70 : x
  2. Step 2: Convert to fraction form
    10,383.52/14,329.20 = 5,667.70/x
  3. Step 3: Cross multiply
    10,383.52x = 14,329.20 × 5,667.70
  4. Step 4: Simplify right side
    10,383.52x = 81,213,606.84
  5. Step 5: Solve for x
    x = 81,213,606.84/10,383.52
  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.