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Finding the Fourth Proportional to 7,346.80, 11,021.82 and 2,416.24

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Solution

The fourth proportional to 7,346.80, 11,021.82 and 2,416.24 is: 3,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.80 : 11,021.82 = 2,416.24 : x
  2. Step 2: Convert to fraction form
    7,346.80/11,021.82 = 2,416.24/x
  3. Step 3: Cross multiply
    7,346.80x = 11,021.82 × 2,416.24
  4. Step 4: Simplify right side
    7,346.80x = 26,631,362.36
  5. Step 5: Solve for x
    x = 26,631,362.36/7,346.80
  6. Step 6: Final answer
    x = 3,624.89

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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.