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Finding the Fourth Proportional to 10,383.64, 14,328.88 and 5,667.84

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Solution

The fourth proportional to 10,383.64, 14,328.88 and 5,667.84 is: 7,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.64 : 14,328.88 = 5,667.84 : x
  2. Step 2: Convert to fraction form
    10,383.64/14,328.88 = 5,667.84/x
  3. Step 3: Cross multiply
    10,383.64x = 14,328.88 × 5,667.84
  4. Step 4: Simplify right side
    10,383.64x = 81,213,799.22
  5. Step 5: Solve for x
    x = 81,213,799.22/10,383.64
  6. Step 6: Final answer
    x = 7,821.32

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