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Finding the Fourth Proportional to 27,527.70, 41,283.45 and 7,807.98

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Solution

The fourth proportional to 27,527.70, 41,283.45 and 7,807.98 is: 11,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.70 : 41,283.45 = 7,807.98 : x
  2. Step 2: Convert to fraction form
    27,527.70/41,283.45 = 7,807.98/x
  3. Step 3: Cross multiply
    27,527.70x = 41,283.45 × 7,807.98
  4. Step 4: Simplify right side
    27,527.70x = 322,340,351.93
  5. Step 5: Solve for x
    x = 322,340,351.93/27,527.70
  6. Step 6: Final answer
    x = 11,709.67

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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.