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Finding the Fourth Proportional to 7,346.43, 11,018.43 and 2,416.13

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Solution

The fourth proportional to 7,346.43, 11,018.43 and 2,416.13 is: 3,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.43 : 11,018.43 = 2,416.13 : x
  2. Step 2: Convert to fraction form
    7,346.43/11,018.43 = 2,416.13/x
  3. Step 3: Cross multiply
    7,346.43x = 11,018.43 × 2,416.13
  4. Step 4: Simplify right side
    7,346.43x = 26,621,945.50
  5. Step 5: Solve for x
    x = 26,621,945.50/7,346.43
  6. Step 6: Final answer
    x = 3,623.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.