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Finding the Fourth Proportional to 10,265.77, 14,168.96 and 6,486.53

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Solution

The fourth proportional to 10,265.77, 14,168.96 and 6,486.53 is: 8,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.77 : 14,168.96 = 6,486.53 : x
  2. Step 2: Convert to fraction form
    10,265.77/14,168.96 = 6,486.53/x
  3. Step 3: Cross multiply
    10,265.77x = 14,168.96 × 6,486.53
  4. Step 4: Simplify right side
    10,265.77x = 91,907,435.75
  5. Step 5: Solve for x
    x = 91,907,435.75/10,265.77
  6. Step 6: Final answer
    x = 8,952.81

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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.