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Finding the Fourth Proportional to 10,383.14, 14,328.76 and 5,667.42

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Solution

The fourth proportional to 10,383.14, 14,328.76 and 5,667.42 is: 7,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.14 : 14,328.76 = 5,667.42 : x
  2. Step 2: Convert to fraction form
    10,383.14/14,328.76 = 5,667.42/x
  3. Step 3: Cross multiply
    10,383.14x = 14,328.76 × 5,667.42
  4. Step 4: Simplify right side
    10,383.14x = 81,207,101.00
  5. Step 5: Solve for x
    x = 81,207,101.00/10,383.14
  6. Step 6: Final answer
    x = 7,821.05

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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.