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Finding the Fourth Proportional to 27,538.40, 41,308.24 and 6,762.08

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Solution

The fourth proportional to 27,538.40, 41,308.24 and 6,762.08 is: 10,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.40 : 41,308.24 = 6,762.08 : x
  2. Step 2: Convert to fraction form
    27,538.40/41,308.24 = 6,762.08/x
  3. Step 3: Cross multiply
    27,538.40x = 41,308.24 × 6,762.08
  4. Step 4: Simplify right side
    27,538.40x = 279,329,623.54
  5. Step 5: Solve for x
    x = 279,329,623.54/27,538.40
  6. Step 6: Final answer
    x = 10,143.28

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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.