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Finding the Fourth Proportional to 10,130.99, 15,196.49 and 8,395.97

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Solution

The fourth proportional to 10,130.99, 15,196.49 and 8,395.97 is: 12,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.99 : 15,196.49 = 8,395.97 : x
  2. Step 2: Convert to fraction form
    10,130.99/15,196.49 = 8,395.97/x
  3. Step 3: Cross multiply
    10,130.99x = 15,196.49 × 8,395.97
  4. Step 4: Simplify right side
    10,130.99x = 127,589,274.15
  5. Step 5: Solve for x
    x = 127,589,274.15/10,130.99
  6. Step 6: Final answer
    x = 12,593.96

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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.