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Finding the Fourth Proportional to 7,666.75, 11,502.90 and 3,773.89

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Solution

The fourth proportional to 7,666.75, 11,502.90 and 3,773.89 is: 5,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.75 : 11,502.90 = 3,773.89 : x
  2. Step 2: Convert to fraction form
    7,666.75/11,502.90 = 3,773.89/x
  3. Step 3: Cross multiply
    7,666.75x = 11,502.90 × 3,773.89
  4. Step 4: Simplify right side
    7,666.75x = 43,410,679.28
  5. Step 5: Solve for x
    x = 43,410,679.28/7,666.75
  6. Step 6: Final answer
    x = 5,662.20

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Why These Related Problems?

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