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Finding the Fourth Proportional to 10,842.04, 14,961.82 and 6,126.22

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Solution

The fourth proportional to 10,842.04, 14,961.82 and 6,126.22 is: 8,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.04 : 14,961.82 = 6,126.22 : x
  2. Step 2: Convert to fraction form
    10,842.04/14,961.82 = 6,126.22/x
  3. Step 3: Cross multiply
    10,842.04x = 14,961.82 × 6,126.22
  4. Step 4: Simplify right side
    10,842.04x = 91,659,295.48
  5. Step 5: Solve for x
    x = 91,659,295.48/10,842.04
  6. Step 6: Final answer
    x = 8,454.07

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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.