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Finding the Fourth Proportional to 10,450.42, 14,421.54 and 5,734.69

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Solution

The fourth proportional to 10,450.42, 14,421.54 and 5,734.69 is: 7,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.42 : 14,421.54 = 5,734.69 : x
  2. Step 2: Convert to fraction form
    10,450.42/14,421.54 = 5,734.69/x
  3. Step 3: Cross multiply
    10,450.42x = 14,421.54 × 5,734.69
  4. Step 4: Simplify right side
    10,450.42x = 82,703,061.22
  5. Step 5: Solve for x
    x = 82,703,061.22/10,450.42
  6. Step 6: Final answer
    x = 7,913.85

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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.