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Finding the Fourth Proportional to 10,769.44, 14,861.78 and 6,053.76

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Solution

The fourth proportional to 10,769.44, 14,861.78 and 6,053.76 is: 8,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.44 : 14,861.78 = 6,053.76 : x
  2. Step 2: Convert to fraction form
    10,769.44/14,861.78 = 6,053.76/x
  3. Step 3: Cross multiply
    10,769.44x = 14,861.78 × 6,053.76
  4. Step 4: Simplify right side
    10,769.44x = 89,969,649.29
  5. Step 5: Solve for x
    x = 89,969,649.29/10,769.44
  6. Step 6: Final answer
    x = 8,354.16

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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.