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Finding the Fourth Proportional to 7,346.80, 11,006.70 and 3,442.60

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Solution

The fourth proportional to 7,346.80, 11,006.70 and 3,442.60 is: 5,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.80 : 11,006.70 = 3,442.60 : x
  2. Step 2: Convert to fraction form
    7,346.80/11,006.70 = 3,442.60/x
  3. Step 3: Cross multiply
    7,346.80x = 11,006.70 × 3,442.60
  4. Step 4: Simplify right side
    7,346.80x = 37,891,665.42
  5. Step 5: Solve for x
    x = 37,891,665.42/7,346.80
  6. Step 6: Final answer
    x = 5,157.57

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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.