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Finding the Fourth Proportional to 10,416.81, 14,372.98 and 6,169.21

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Solution

The fourth proportional to 10,416.81, 14,372.98 and 6,169.21 is: 8,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.81 : 14,372.98 = 6,169.21 : x
  2. Step 2: Convert to fraction form
    10,416.81/14,372.98 = 6,169.21/x
  3. Step 3: Cross multiply
    10,416.81x = 14,372.98 × 6,169.21
  4. Step 4: Simplify right side
    10,416.81x = 88,669,880.59
  5. Step 5: Solve for x
    x = 88,669,880.59/10,416.81
  6. Step 6: Final answer
    x = 8,512.19

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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.