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Finding the Fourth Proportional to 10,349.28, 14,283 and 6,372.72

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Solution

The fourth proportional to 10,349.28, 14,283 and 6,372.72 is: 8,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.28 : 14,283 = 6,372.72 : x
  2. Step 2: Convert to fraction form
    10,349.28/14,283 = 6,372.72/x
  3. Step 3: Cross multiply
    10,349.28x = 14,283 × 6,372.72
  4. Step 4: Simplify right side
    10,349.28x = 91,021,559.76
  5. Step 5: Solve for x
    x = 91,021,559.76/10,349.28
  6. Step 6: Final answer
    x = 8,794.97

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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.