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Finding the Fourth Proportional to 10,735.93, 14,814.17 and 5,955.82

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Solution

The fourth proportional to 10,735.93, 14,814.17 and 5,955.82 is: 8,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.93 : 14,814.17 = 5,955.82 : x
  2. Step 2: Convert to fraction form
    10,735.93/14,814.17 = 5,955.82/x
  3. Step 3: Cross multiply
    10,735.93x = 14,814.17 × 5,955.82
  4. Step 4: Simplify right side
    10,735.93x = 88,230,426.12
  5. Step 5: Solve for x
    x = 88,230,426.12/10,735.93
  6. Step 6: Final answer
    x = 8,218.24

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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.