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Finding the Fourth Proportional to 27,641.05, 41,459.64 and 6,864.55

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Solution

The fourth proportional to 27,641.05, 41,459.64 and 6,864.55 is: 10,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.05 : 41,459.64 = 6,864.55 : x
  2. Step 2: Convert to fraction form
    27,641.05/41,459.64 = 6,864.55/x
  3. Step 3: Cross multiply
    27,641.05x = 41,459.64 × 6,864.55
  4. Step 4: Simplify right side
    27,641.05x = 284,601,771.76
  5. Step 5: Solve for x
    x = 284,601,771.76/27,641.05
  6. Step 6: Final answer
    x = 10,296.34

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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.