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Finding the Fourth Proportional to 10,422.53, 15,636.84 and 3,403.85

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Solution

The fourth proportional to 10,422.53, 15,636.84 and 3,403.85 is: 5,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.53 : 15,636.84 = 3,403.85 : x
  2. Step 2: Convert to fraction form
    10,422.53/15,636.84 = 3,403.85/x
  3. Step 3: Cross multiply
    10,422.53x = 15,636.84 × 3,403.85
  4. Step 4: Simplify right side
    10,422.53x = 53,225,379.65
  5. Step 5: Solve for x
    x = 53,225,379.65/10,422.53
  6. Step 6: Final answer
    x = 5,106.76

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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.