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Finding the Fourth Proportional to 10,636.90, 14,679.16 and 5,921.50

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Solution

The fourth proportional to 10,636.90, 14,679.16 and 5,921.50 is: 8,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.90 : 14,679.16 = 5,921.50 : x
  2. Step 2: Convert to fraction form
    10,636.90/14,679.16 = 5,921.50/x
  3. Step 3: Cross multiply
    10,636.90x = 14,679.16 × 5,921.50
  4. Step 4: Simplify right side
    10,636.90x = 86,922,645.94
  5. Step 5: Solve for x
    x = 86,922,645.94/10,636.90
  6. Step 6: Final answer
    x = 8,171.80

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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.