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Finding the Fourth Proportional to 10,382.99, 14,328.53 and 5,667.27

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Solution

The fourth proportional to 10,382.99, 14,328.53 and 5,667.27 is: 7,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.99 : 14,328.53 = 5,667.27 : x
  2. Step 2: Convert to fraction form
    10,382.99/14,328.53 = 5,667.27/x
  3. Step 3: Cross multiply
    10,382.99x = 14,328.53 × 5,667.27
  4. Step 4: Simplify right side
    10,382.99x = 81,203,587.40
  5. Step 5: Solve for x
    x = 81,203,587.40/10,382.99
  6. Step 6: Final answer
    x = 7,820.83

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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.