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Finding the Fourth Proportional to 27,188.46, 40,782.18 and 7,466.28

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Solution

The fourth proportional to 27,188.46, 40,782.18 and 7,466.28 is: 11,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.46 : 40,782.18 = 7,466.28 : x
  2. Step 2: Convert to fraction form
    27,188.46/40,782.18 = 7,466.28/x
  3. Step 3: Cross multiply
    27,188.46x = 40,782.18 × 7,466.28
  4. Step 4: Simplify right side
    27,188.46x = 304,491,174.89
  5. Step 5: Solve for x
    x = 304,491,174.89/27,188.46
  6. Step 6: Final answer
    x = 11,199.28

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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.