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Finding the Fourth Proportional to 10,475.63, 15,703.29 and 3,450.80

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Solution

The fourth proportional to 10,475.63, 15,703.29 and 3,450.80 is: 5,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.63 : 15,703.29 = 3,450.80 : x
  2. Step 2: Convert to fraction form
    10,475.63/15,703.29 = 3,450.80/x
  3. Step 3: Cross multiply
    10,475.63x = 15,703.29 × 3,450.80
  4. Step 4: Simplify right side
    10,475.63x = 54,188,834.62
  5. Step 5: Solve for x
    x = 54,188,834.62/10,475.63
  6. Step 6: Final answer
    x = 5,172.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.