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Finding the Fourth Proportional to 10,769.22, 14,861.88 and 6,053.94

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Solution

The fourth proportional to 10,769.22, 14,861.88 and 6,053.94 is: 8,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.22 : 14,861.88 = 6,053.94 : x
  2. Step 2: Convert to fraction form
    10,769.22/14,861.88 = 6,053.94/x
  3. Step 3: Cross multiply
    10,769.22x = 14,861.88 × 6,053.94
  4. Step 4: Simplify right side
    10,769.22x = 89,972,929.81
  5. Step 5: Solve for x
    x = 89,972,929.81/10,769.22
  6. Step 6: Final answer
    x = 8,354.64

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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.