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Finding the Fourth Proportional to 10,619.88, 14,655.77 and 5,905.09

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Solution

The fourth proportional to 10,619.88, 14,655.77 and 5,905.09 is: 8,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.88 : 14,655.77 = 5,905.09 : x
  2. Step 2: Convert to fraction form
    10,619.88/14,655.77 = 5,905.09/x
  3. Step 3: Cross multiply
    10,619.88x = 14,655.77 × 5,905.09
  4. Step 4: Simplify right side
    10,619.88x = 86,543,640.87
  5. Step 5: Solve for x
    x = 86,543,640.87/10,619.88
  6. Step 6: Final answer
    x = 8,149.21

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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.