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Finding the Fourth Proportional to 10,495.77, 14,474.17 and 8,101.92

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Solution

The fourth proportional to 10,495.77, 14,474.17 and 8,101.92 is: 11,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.77 : 14,474.17 = 8,101.92 : x
  2. Step 2: Convert to fraction form
    10,495.77/14,474.17 = 8,101.92/x
  3. Step 3: Cross multiply
    10,495.77x = 14,474.17 × 8,101.92
  4. Step 4: Simplify right side
    10,495.77x = 117,268,567.41
  5. Step 5: Solve for x
    x = 117,268,567.41/10,495.77
  6. Step 6: Final answer
    x = 11,172.94

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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.