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Finding the Fourth Proportional to 10,450.14, 14,421.51 and 5,734.74

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Solution

The fourth proportional to 10,450.14, 14,421.51 and 5,734.74 is: 7,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.14 : 14,421.51 = 5,734.74 : x
  2. Step 2: Convert to fraction form
    10,450.14/14,421.51 = 5,734.74/x
  3. Step 3: Cross multiply
    10,450.14x = 14,421.51 × 5,734.74
  4. Step 4: Simplify right side
    10,450.14x = 82,703,610.26
  5. Step 5: Solve for x
    x = 82,703,610.26/10,450.14
  6. Step 6: Final answer
    x = 7,914.12

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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.