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Finding the Fourth Proportional to 7,609.83, 11,415.66 and 2,678.45

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Solution

The fourth proportional to 7,609.83, 11,415.66 and 2,678.45 is: 4,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.83 : 11,415.66 = 2,678.45 : x
  2. Step 2: Convert to fraction form
    7,609.83/11,415.66 = 2,678.45/x
  3. Step 3: Cross multiply
    7,609.83x = 11,415.66 × 2,678.45
  4. Step 4: Simplify right side
    7,609.83x = 30,576,217.45
  5. Step 5: Solve for x
    x = 30,576,217.45/7,609.83
  6. Step 6: Final answer
    x = 4,017.99

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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.