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Finding the Fourth Proportional to 10,372.64, 14,319.06 and 6,122.30

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Solution

The fourth proportional to 10,372.64, 14,319.06 and 6,122.30 is: 8,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.64 : 14,319.06 = 6,122.30 : x
  2. Step 2: Convert to fraction form
    10,372.64/14,319.06 = 6,122.30/x
  3. Step 3: Cross multiply
    10,372.64x = 14,319.06 × 6,122.30
  4. Step 4: Simplify right side
    10,372.64x = 87,665,581.04
  5. Step 5: Solve for x
    x = 87,665,581.04/10,372.64
  6. Step 6: Final answer
    x = 8,451.62

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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.