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Finding the Fourth Proportional to 11,289, 15,578.85 and 6,321

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Solution

The fourth proportional to 11,289, 15,578.85 and 6,321 is: 8,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 15,578.85 = 6,321 : x
  2. Step 2: Convert to fraction form
    11,289/15,578.85 = 6,321/x
  3. Step 3: Cross multiply
    11,289x = 15,578.85 × 6,321
  4. Step 4: Simplify right side
    11,289x = 98,473,910.85
  5. Step 5: Solve for x
    x = 98,473,910.85/11,289
  6. Step 6: Final answer
    x = 8,723.00

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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.