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Finding the Fourth Proportional to 10,429.62, 14,393.91 and 5,954.05

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Solution

The fourth proportional to 10,429.62, 14,393.91 and 5,954.05 is: 8,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.62 : 14,393.91 = 5,954.05 : x
  2. Step 2: Convert to fraction form
    10,429.62/14,393.91 = 5,954.05/x
  3. Step 3: Cross multiply
    10,429.62x = 14,393.91 × 5,954.05
  4. Step 4: Simplify right side
    10,429.62x = 85,702,059.84
  5. Step 5: Solve for x
    x = 85,702,059.84/10,429.62
  6. Step 6: Final answer
    x = 8,217.18

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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.