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Finding the Fourth Proportional to 11,763.34, 17,649.87 and 6,215.35

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Solution

The fourth proportional to 11,763.34, 17,649.87 and 6,215.35 is: 9,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.34 : 17,649.87 = 6,215.35 : x
  2. Step 2: Convert to fraction form
    11,763.34/17,649.87 = 6,215.35/x
  3. Step 3: Cross multiply
    11,763.34x = 17,649.87 × 6,215.35
  4. Step 4: Simplify right side
    11,763.34x = 109,700,119.50
  5. Step 5: Solve for x
    x = 109,700,119.50/11,763.34
  6. Step 6: Final answer
    x = 9,325.59

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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.