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Finding the Fourth Proportional to 10,383, 14,328.60 and 5,667.24

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Solution

The fourth proportional to 10,383, 14,328.60 and 5,667.24 is: 7,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 14,328.60 = 5,667.24 : x
  2. Step 2: Convert to fraction form
    10,383/14,328.60 = 5,667.24/x
  3. Step 3: Cross multiply
    10,383x = 14,328.60 × 5,667.24
  4. Step 4: Simplify right side
    10,383x = 81,203,615.06
  5. Step 5: Solve for x
    x = 81,203,615.06/10,383
  6. Step 6: Final answer
    x = 7,820.82

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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.