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Finding the Fourth Proportional to 27,756.35, 41,637.15 and 7,765.84

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Solution

The fourth proportional to 27,756.35, 41,637.15 and 7,765.84 is: 11,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756.35 : 41,637.15 = 7,765.84 : x
  2. Step 2: Convert to fraction form
    27,756.35/41,637.15 = 7,765.84/x
  3. Step 3: Cross multiply
    27,756.35x = 41,637.15 × 7,765.84
  4. Step 4: Simplify right side
    27,756.35x = 323,347,444.96
  5. Step 5: Solve for x
    x = 323,347,444.96/27,756.35
  6. Step 6: Final answer
    x = 11,649.49

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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.