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Finding the Fourth Proportional to 10,617.89, 14,649.26 and 5,901.26

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Solution

The fourth proportional to 10,617.89, 14,649.26 and 5,901.26 is: 8,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.89 : 14,649.26 = 5,901.26 : x
  2. Step 2: Convert to fraction form
    10,617.89/14,649.26 = 5,901.26/x
  3. Step 3: Cross multiply
    10,617.89x = 14,649.26 × 5,901.26
  4. Step 4: Simplify right side
    10,617.89x = 86,448,989.32
  5. Step 5: Solve for x
    x = 86,448,989.32/10,617.89
  6. Step 6: Final answer
    x = 8,141.83

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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.