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Finding the Fourth Proportional to 10,841.45, 14,958.68 and 8,159.23

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Solution

The fourth proportional to 10,841.45, 14,958.68 and 8,159.23 is: 11,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.45 : 14,958.68 = 8,159.23 : x
  2. Step 2: Convert to fraction form
    10,841.45/14,958.68 = 8,159.23/x
  3. Step 3: Cross multiply
    10,841.45x = 14,958.68 × 8,159.23
  4. Step 4: Simplify right side
    10,841.45x = 122,051,288.52
  5. Step 5: Solve for x
    x = 122,051,288.52/10,841.45
  6. Step 6: Final answer
    x = 11,257.84

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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.