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Finding the Fourth Proportional to 7,665.98, 10,576.71 and 4,308.35

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Solution

The fourth proportional to 7,665.98, 10,576.71 and 4,308.35 is: 5,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.98 : 10,576.71 = 4,308.35 : x
  2. Step 2: Convert to fraction form
    7,665.98/10,576.71 = 4,308.35/x
  3. Step 3: Cross multiply
    7,665.98x = 10,576.71 × 4,308.35
  4. Step 4: Simplify right side
    7,665.98x = 45,568,115.64
  5. Step 5: Solve for x
    x = 45,568,115.64/7,665.98
  6. Step 6: Final answer
    x = 5,944.20

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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.