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Finding the Fourth Proportional to 10,450.84, 14,422.44 and 5,735.29

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Solution

The fourth proportional to 10,450.84, 14,422.44 and 5,735.29 is: 7,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.84 : 14,422.44 = 5,735.29 : x
  2. Step 2: Convert to fraction form
    10,450.84/14,422.44 = 5,735.29/x
  3. Step 3: Cross multiply
    10,450.84x = 14,422.44 × 5,735.29
  4. Step 4: Simplify right side
    10,450.84x = 82,716,875.91
  5. Step 5: Solve for x
    x = 82,716,875.91/10,450.84
  6. Step 6: Final answer
    x = 7,914.85

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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.