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Finding the Fourth Proportional to 10,195.37, 14,061.49 and 8,423.90

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Solution

The fourth proportional to 10,195.37, 14,061.49 and 8,423.90 is: 11,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.37 : 14,061.49 = 8,423.90 : x
  2. Step 2: Convert to fraction form
    10,195.37/14,061.49 = 8,423.90/x
  3. Step 3: Cross multiply
    10,195.37x = 14,061.49 × 8,423.90
  4. Step 4: Simplify right side
    10,195.37x = 118,452,494.24
  5. Step 5: Solve for x
    x = 118,452,494.24/10,195.37
  6. Step 6: Final answer
    x = 11,618.27

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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.