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Finding the Fourth Proportional to 10,450.67, 14,421.95 and 5,734.98

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Solution

The fourth proportional to 10,450.67, 14,421.95 and 5,734.98 is: 7,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.67 : 14,421.95 = 5,734.98 : x
  2. Step 2: Convert to fraction form
    10,450.67/14,421.95 = 5,734.98/x
  3. Step 3: Cross multiply
    10,450.67x = 14,421.95 × 5,734.98
  4. Step 4: Simplify right side
    10,450.67x = 82,709,566.14
  5. Step 5: Solve for x
    x = 82,709,566.14/10,450.67
  6. Step 6: Final answer
    x = 7,914.29

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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.