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Finding the Fourth Proportional to 10,382.72, 14,327.88 and 5,667.08

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Solution

The fourth proportional to 10,382.72, 14,327.88 and 5,667.08 is: 7,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.72 : 14,327.88 = 5,667.08 : x
  2. Step 2: Convert to fraction form
    10,382.72/14,327.88 = 5,667.08/x
  3. Step 3: Cross multiply
    10,382.72x = 14,327.88 × 5,667.08
  4. Step 4: Simplify right side
    10,382.72x = 81,197,242.19
  5. Step 5: Solve for x
    x = 81,197,242.19/10,382.72
  6. Step 6: Final answer
    x = 7,820.42

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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.