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Finding the Fourth Proportional to 10,149.40, 14,008.43 and 6,169.67

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Solution

The fourth proportional to 10,149.40, 14,008.43 and 6,169.67 is: 8,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.40 : 14,008.43 = 6,169.67 : x
  2. Step 2: Convert to fraction form
    10,149.40/14,008.43 = 6,169.67/x
  3. Step 3: Cross multiply
    10,149.40x = 14,008.43 × 6,169.67
  4. Step 4: Simplify right side
    10,149.40x = 86,427,289.43
  5. Step 5: Solve for x
    x = 86,427,289.43/10,149.40
  6. Step 6: Final answer
    x = 8,515.51

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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.