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Finding the Fourth Proportional to 10,605.96, 14,636.39 and 5,825.77

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Solution

The fourth proportional to 10,605.96, 14,636.39 and 5,825.77 is: 8,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.96 : 14,636.39 = 5,825.77 : x
  2. Step 2: Convert to fraction form
    10,605.96/14,636.39 = 5,825.77/x
  3. Step 3: Cross multiply
    10,605.96x = 14,636.39 × 5,825.77
  4. Step 4: Simplify right side
    10,605.96x = 85,268,241.77
  5. Step 5: Solve for x
    x = 85,268,241.77/10,605.96
  6. Step 6: Final answer
    x = 8,039.65

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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.