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Finding the Fourth Proportional to 27,601.72, 41,390.10 and 7,875.58

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Solution

The fourth proportional to 27,601.72, 41,390.10 and 7,875.58 is: 11,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.72 : 41,390.10 = 7,875.58 : x
  2. Step 2: Convert to fraction form
    27,601.72/41,390.10 = 7,875.58/x
  3. Step 3: Cross multiply
    27,601.72x = 41,390.10 × 7,875.58
  4. Step 4: Simplify right side
    27,601.72x = 325,971,043.76
  5. Step 5: Solve for x
    x = 325,971,043.76/27,601.72
  6. Step 6: Final answer
    x = 11,809.81

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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.