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Finding the Fourth Proportional to 11,035.74, 15,229.44 and 6,321

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Solution

The fourth proportional to 11,035.74, 15,229.44 and 6,321 is: 8,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035.74 : 15,229.44 = 6,321 : x
  2. Step 2: Convert to fraction form
    11,035.74/15,229.44 = 6,321/x
  3. Step 3: Cross multiply
    11,035.74x = 15,229.44 × 6,321
  4. Step 4: Simplify right side
    11,035.74x = 96,265,290.24
  5. Step 5: Solve for x
    x = 96,265,290.24/11,035.74
  6. Step 6: Final answer
    x = 8,723.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.