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Finding the Fourth Proportional to 11,493.76, 17,242.48 and 4,920

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Solution

The fourth proportional to 11,493.76, 17,242.48 and 4,920 is: 7,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.76 : 17,242.48 = 4,920 : x
  2. Step 2: Convert to fraction form
    11,493.76/17,242.48 = 4,920/x
  3. Step 3: Cross multiply
    11,493.76x = 17,242.48 × 4,920
  4. Step 4: Simplify right side
    11,493.76x = 84,833,001.60
  5. Step 5: Solve for x
    x = 84,833,001.60/11,493.76
  6. Step 6: Final answer
    x = 7,380.79

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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.