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Finding the Fourth Proportional to 10,450.70, 14,421.90 and 5,735

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Solution

The fourth proportional to 10,450.70, 14,421.90 and 5,735 is: 7,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.70 : 14,421.90 = 5,735 : x
  2. Step 2: Convert to fraction form
    10,450.70/14,421.90 = 5,735/x
  3. Step 3: Cross multiply
    10,450.70x = 14,421.90 × 5,735
  4. Step 4: Simplify right side
    10,450.70x = 82,709,596.50
  5. Step 5: Solve for x
    x = 82,709,596.50/10,450.70
  6. Step 6: Final answer
    x = 7,914.26

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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.