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Finding the Fourth Proportional to 10,179.68, 14,040.70 and 8,291.32

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Solution

The fourth proportional to 10,179.68, 14,040.70 and 8,291.32 is: 11,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.68 : 14,040.70 = 8,291.32 : x
  2. Step 2: Convert to fraction form
    10,179.68/14,040.70 = 8,291.32/x
  3. Step 3: Cross multiply
    10,179.68x = 14,040.70 × 8,291.32
  4. Step 4: Simplify right side
    10,179.68x = 116,415,936.72
  5. Step 5: Solve for x
    x = 116,415,936.72/10,179.68
  6. Step 6: Final answer
    x = 11,436.11

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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.