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Finding the Fourth Proportional to 10,372.32, 14,313.78 and 5,656.62

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Solution

The fourth proportional to 10,372.32, 14,313.78 and 5,656.62 is: 7,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.32 : 14,313.78 = 5,656.62 : x
  2. Step 2: Convert to fraction form
    10,372.32/14,313.78 = 5,656.62/x
  3. Step 3: Cross multiply
    10,372.32x = 14,313.78 × 5,656.62
  4. Step 4: Simplify right side
    10,372.32x = 80,967,614.22
  5. Step 5: Solve for x
    x = 80,967,614.22/10,372.32
  6. Step 6: Final answer
    x = 7,806.12

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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.