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Finding the Fourth Proportional to 27,582.66, 41,374.41 and 7,861.68

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Solution

The fourth proportional to 27,582.66, 41,374.41 and 7,861.68 is: 11,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.66 : 41,374.41 = 7,861.68 : x
  2. Step 2: Convert to fraction form
    27,582.66/41,374.41 = 7,861.68/x
  3. Step 3: Cross multiply
    27,582.66x = 41,374.41 × 7,861.68
  4. Step 4: Simplify right side
    27,582.66x = 325,272,371.61
  5. Step 5: Solve for x
    x = 325,272,371.61/27,582.66
  6. Step 6: Final answer
    x = 11,792.64

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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.