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Finding the Fourth Proportional to 10,760.67, 14,849.87 and 6,511.68

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Solution

The fourth proportional to 10,760.67, 14,849.87 and 6,511.68 is: 8,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.67 : 14,849.87 = 6,511.68 : x
  2. Step 2: Convert to fraction form
    10,760.67/14,849.87 = 6,511.68/x
  3. Step 3: Cross multiply
    10,760.67x = 14,849.87 × 6,511.68
  4. Step 4: Simplify right side
    10,760.67x = 96,697,568.92
  5. Step 5: Solve for x
    x = 96,697,568.92/10,760.67
  6. Step 6: Final answer
    x = 8,986.20

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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.