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Finding the Fourth Proportional to 10,634.76, 14,675.04 and 5,918.04

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Solution

The fourth proportional to 10,634.76, 14,675.04 and 5,918.04 is: 8,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.76 : 14,675.04 = 5,918.04 : x
  2. Step 2: Convert to fraction form
    10,634.76/14,675.04 = 5,918.04/x
  3. Step 3: Cross multiply
    10,634.76x = 14,675.04 × 5,918.04
  4. Step 4: Simplify right side
    10,634.76x = 86,847,473.72
  5. Step 5: Solve for x
    x = 86,847,473.72/10,634.76
  6. Step 6: Final answer
    x = 8,166.38

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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.