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Finding the Fourth Proportional to 7,666.40, 11,494.62 and 3,662.14

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Solution

The fourth proportional to 7,666.40, 11,494.62 and 3,662.14 is: 5,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.40 : 11,494.62 = 3,662.14 : x
  2. Step 2: Convert to fraction form
    7,666.40/11,494.62 = 3,662.14/x
  3. Step 3: Cross multiply
    7,666.40x = 11,494.62 × 3,662.14
  4. Step 4: Simplify right side
    7,666.40x = 42,094,907.69
  5. Step 5: Solve for x
    x = 42,094,907.69/7,666.40
  6. Step 6: Final answer
    x = 5,490.83

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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.