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Finding the Fourth Proportional to 7,346.92, 11,022.10 and 2,416.54

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Solution

The fourth proportional to 7,346.92, 11,022.10 and 2,416.54 is: 3,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.92 : 11,022.10 = 2,416.54 : x
  2. Step 2: Convert to fraction form
    7,346.92/11,022.10 = 2,416.54/x
  3. Step 3: Cross multiply
    7,346.92x = 11,022.10 × 2,416.54
  4. Step 4: Simplify right side
    7,346.92x = 26,635,345.53
  5. Step 5: Solve for x
    x = 26,635,345.53/7,346.92
  6. Step 6: Final answer
    x = 3,625.38

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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.