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Finding the Fourth Proportional to 10,450.80, 14,422.06 and 5,735.16

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Solution

The fourth proportional to 10,450.80, 14,422.06 and 5,735.16 is: 7,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.80 : 14,422.06 = 5,735.16 : x
  2. Step 2: Convert to fraction form
    10,450.80/14,422.06 = 5,735.16/x
  3. Step 3: Cross multiply
    10,450.80x = 14,422.06 × 5,735.16
  4. Step 4: Simplify right side
    10,450.80x = 82,712,821.63
  5. Step 5: Solve for x
    x = 82,712,821.63/10,450.80
  6. Step 6: Final answer
    x = 7,914.50

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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.