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Finding the Fourth Proportional to 10,198.16, 14,037.64 and 8,936.24

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Solution

The fourth proportional to 10,198.16, 14,037.64 and 8,936.24 is: 12,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.16 : 14,037.64 = 8,936.24 : x
  2. Step 2: Convert to fraction form
    10,198.16/14,037.64 = 8,936.24/x
  3. Step 3: Cross multiply
    10,198.16x = 14,037.64 × 8,936.24
  4. Step 4: Simplify right side
    10,198.16x = 125,443,720.07
  5. Step 5: Solve for x
    x = 125,443,720.07/10,198.16
  6. Step 6: Final answer
    x = 12,300.62

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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.