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Finding the Fourth Proportional to 27,596.83, 41,402.24 and 7,875.46

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Solution

The fourth proportional to 27,596.83, 41,402.24 and 7,875.46 is: 11,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.83 : 41,402.24 = 7,875.46 : x
  2. Step 2: Convert to fraction form
    27,596.83/41,402.24 = 7,875.46/x
  3. Step 3: Cross multiply
    27,596.83x = 41,402.24 × 7,875.46
  4. Step 4: Simplify right side
    27,596.83x = 326,061,685.03
  5. Step 5: Solve for x
    x = 326,061,685.03/27,596.83
  6. Step 6: Final answer
    x = 11,815.19

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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.