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Finding the Fourth Proportional to 10,769.67, 14,861.52 and 6,053.63

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Solution

The fourth proportional to 10,769.67, 14,861.52 and 6,053.63 is: 8,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.67 : 14,861.52 = 6,053.63 : x
  2. Step 2: Convert to fraction form
    10,769.67/14,861.52 = 6,053.63/x
  3. Step 3: Cross multiply
    10,769.67x = 14,861.52 × 6,053.63
  4. Step 4: Simplify right side
    10,769.67x = 89,966,069.01
  5. Step 5: Solve for x
    x = 89,966,069.01/10,769.67
  6. Step 6: Final answer
    x = 8,353.65

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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.