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Finding the Fourth Proportional to 10,841.82, 14,961.52 and 6,126

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Solution

The fourth proportional to 10,841.82, 14,961.52 and 6,126 is: 8,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.82 : 14,961.52 = 6,126 : x
  2. Step 2: Convert to fraction form
    10,841.82/14,961.52 = 6,126/x
  3. Step 3: Cross multiply
    10,841.82x = 14,961.52 × 6,126
  4. Step 4: Simplify right side
    10,841.82x = 91,654,240.89
  5. Step 5: Solve for x
    x = 91,654,240.89/10,841.82
  6. Step 6: Final answer
    x = 8,453.77

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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.