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Finding the Fourth Proportional to 10,576.35, 14,588.73 and 6,804.42

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Solution

The fourth proportional to 10,576.35, 14,588.73 and 6,804.42 is: 9,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.35 : 14,588.73 = 6,804.42 : x
  2. Step 2: Convert to fraction form
    10,576.35/14,588.73 = 6,804.42/x
  3. Step 3: Cross multiply
    10,576.35x = 14,588.73 × 6,804.42
  4. Step 4: Simplify right side
    10,576.35x = 99,267,846.19
  5. Step 5: Solve for x
    x = 99,267,846.19/10,576.35
  6. Step 6: Final answer
    x = 9,385.83

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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.