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Finding the Fourth Proportional to 10,382.75, 14,328.18 and 5,667.03

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Solution

The fourth proportional to 10,382.75, 14,328.18 and 5,667.03 is: 7,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.75 : 14,328.18 = 5,667.03 : x
  2. Step 2: Convert to fraction form
    10,382.75/14,328.18 = 5,667.03/x
  3. Step 3: Cross multiply
    10,382.75x = 14,328.18 × 5,667.03
  4. Step 4: Simplify right side
    10,382.75x = 81,198,225.91
  5. Step 5: Solve for x
    x = 81,198,225.91/10,382.75
  6. Step 6: Final answer
    x = 7,820.49

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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.