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Finding the Fourth Proportional to 27,579.66, 41,364 and 7,852.92

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Solution

The fourth proportional to 27,579.66, 41,364 and 7,852.92 is: 11,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,579.66 : 41,364 = 7,852.92 : x
  2. Step 2: Convert to fraction form
    27,579.66/41,364 = 7,852.92/x
  3. Step 3: Cross multiply
    27,579.66x = 41,364 × 7,852.92
  4. Step 4: Simplify right side
    27,579.66x = 324,828,182.88
  5. Step 5: Solve for x
    x = 324,828,182.88/27,579.66
  6. Step 6: Final answer
    x = 11,777.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.