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Finding the Fourth Proportional to 27,539.14, 41,308.72 and 6,762.64

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Solution

The fourth proportional to 27,539.14, 41,308.72 and 6,762.64 is: 10,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.14 : 41,308.72 = 6,762.64 : x
  2. Step 2: Convert to fraction form
    27,539.14/41,308.72 = 6,762.64/x
  3. Step 3: Cross multiply
    27,539.14x = 41,308.72 × 6,762.64
  4. Step 4: Simplify right side
    27,539.14x = 279,356,002.22
  5. Step 5: Solve for x
    x = 279,356,002.22/27,539.14
  6. Step 6: Final answer
    x = 10,143.96

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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.