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Finding the Fourth Proportional to 10,576.22, 14,591.07 and 6,798.85

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Solution

The fourth proportional to 10,576.22, 14,591.07 and 6,798.85 is: 9,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.22 : 14,591.07 = 6,798.85 : x
  2. Step 2: Convert to fraction form
    10,576.22/14,591.07 = 6,798.85/x
  3. Step 3: Cross multiply
    10,576.22x = 14,591.07 × 6,798.85
  4. Step 4: Simplify right side
    10,576.22x = 99,202,459.79
  5. Step 5: Solve for x
    x = 99,202,459.79/10,576.22
  6. Step 6: Final answer
    x = 9,379.77

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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.