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Finding the Fourth Proportional to 10,633.54, 14,674.65 and 5,918.14

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Solution

The fourth proportional to 10,633.54, 14,674.65 and 5,918.14 is: 8,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.54 : 14,674.65 = 5,918.14 : x
  2. Step 2: Convert to fraction form
    10,633.54/14,674.65 = 5,918.14/x
  3. Step 3: Cross multiply
    10,633.54x = 14,674.65 × 5,918.14
  4. Step 4: Simplify right side
    10,633.54x = 86,846,633.15
  5. Step 5: Solve for x
    x = 86,846,633.15/10,633.54
  6. Step 6: Final answer
    x = 8,167.24

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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.