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Finding the Fourth Proportional to 10,372.72, 14,313.92 and 5,656.72

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Solution

The fourth proportional to 10,372.72, 14,313.92 and 5,656.72 is: 7,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.72 : 14,313.92 = 5,656.72 : x
  2. Step 2: Convert to fraction form
    10,372.72/14,313.92 = 5,656.72/x
  3. Step 3: Cross multiply
    10,372.72x = 14,313.92 × 5,656.72
  4. Step 4: Simplify right side
    10,372.72x = 80,969,837.54
  5. Step 5: Solve for x
    x = 80,969,837.54/10,372.72
  6. Step 6: Final answer
    x = 7,806.04

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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.