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Finding the Fourth Proportional to 7,666.29, 11,502.68 and 3,285.81

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Solution

The fourth proportional to 7,666.29, 11,502.68 and 3,285.81 is: 4,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.29 : 11,502.68 = 3,285.81 : x
  2. Step 2: Convert to fraction form
    7,666.29/11,502.68 = 3,285.81/x
  3. Step 3: Cross multiply
    7,666.29x = 11,502.68 × 3,285.81
  4. Step 4: Simplify right side
    7,666.29x = 37,795,604.54
  5. Step 5: Solve for x
    x = 37,795,604.54/7,666.29
  6. Step 6: Final answer
    x = 4,930.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.