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Finding the Fourth Proportional to 10,438.24, 14,404.92 and 6,245.68

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Solution

The fourth proportional to 10,438.24, 14,404.92 and 6,245.68 is: 8,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.24 : 14,404.92 = 6,245.68 : x
  2. Step 2: Convert to fraction form
    10,438.24/14,404.92 = 6,245.68/x
  3. Step 3: Cross multiply
    10,438.24x = 14,404.92 × 6,245.68
  4. Step 4: Simplify right side
    10,438.24x = 89,968,520.75
  5. Step 5: Solve for x
    x = 89,968,520.75/10,438.24
  6. Step 6: Final answer
    x = 8,619.13

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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.