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Finding the Fourth Proportional to 10,201.99, 14,080.19 and 5,726.84

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Solution

The fourth proportional to 10,201.99, 14,080.19 and 5,726.84 is: 7,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.99 : 14,080.19 = 5,726.84 : x
  2. Step 2: Convert to fraction form
    10,201.99/14,080.19 = 5,726.84/x
  3. Step 3: Cross multiply
    10,201.99x = 14,080.19 × 5,726.84
  4. Step 4: Simplify right side
    10,201.99x = 80,634,995.30
  5. Step 5: Solve for x
    x = 80,634,995.30/10,201.99
  6. Step 6: Final answer
    x = 7,903.85

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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.