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Finding the Fourth Proportional to 27,762.57, 41,643.59 and 8,040.96

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Solution

The fourth proportional to 27,762.57, 41,643.59 and 8,040.96 is: 12,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.57 : 41,643.59 = 8,040.96 : x
  2. Step 2: Convert to fraction form
    27,762.57/41,643.59 = 8,040.96/x
  3. Step 3: Cross multiply
    27,762.57x = 41,643.59 × 8,040.96
  4. Step 4: Simplify right side
    27,762.57x = 334,854,401.24
  5. Step 5: Solve for x
    x = 334,854,401.24/27,762.57
  6. Step 6: Final answer
    x = 12,061.36

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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.