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Finding the Fourth Proportional to 7,118.35, 10,678.64 and 3,419.89

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Solution

The fourth proportional to 7,118.35, 10,678.64 and 3,419.89 is: 5,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.35 : 10,678.64 = 3,419.89 : x
  2. Step 2: Convert to fraction form
    7,118.35/10,678.64 = 3,419.89/x
  3. Step 3: Cross multiply
    7,118.35x = 10,678.64 × 3,419.89
  4. Step 4: Simplify right side
    7,118.35x = 36,519,757.05
  5. Step 5: Solve for x
    x = 36,519,757.05/7,118.35
  6. Step 6: Final answer
    x = 5,130.37

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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.