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Finding the Fourth Proportional to 11,754.08, 17,617.68 and 4,820

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Solution

The fourth proportional to 11,754.08, 17,617.68 and 4,820 is: 7,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.08 : 17,617.68 = 4,820 : x
  2. Step 2: Convert to fraction form
    11,754.08/17,617.68 = 4,820/x
  3. Step 3: Cross multiply
    11,754.08x = 17,617.68 × 4,820
  4. Step 4: Simplify right side
    11,754.08x = 84,917,217.60
  5. Step 5: Solve for x
    x = 84,917,217.60/11,754.08
  6. Step 6: Final answer
    x = 7,224.49

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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.