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Finding the Fourth Proportional to 10,634.44, 14,674.08 and 5,918.08

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Solution

The fourth proportional to 10,634.44, 14,674.08 and 5,918.08 is: 8,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.44 : 14,674.08 = 5,918.08 : x
  2. Step 2: Convert to fraction form
    10,634.44/14,674.08 = 5,918.08/x
  3. Step 3: Cross multiply
    10,634.44x = 14,674.08 × 5,918.08
  4. Step 4: Simplify right side
    10,634.44x = 86,842,379.37
  5. Step 5: Solve for x
    x = 86,842,379.37/10,634.44
  6. Step 6: Final answer
    x = 8,166.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.