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Finding the Fourth Proportional to 7,754.49, 11,598.87 and 5,261.31

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Solution

The fourth proportional to 7,754.49, 11,598.87 and 5,261.31 is: 7,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.49 : 11,598.87 = 5,261.31 : x
  2. Step 2: Convert to fraction form
    7,754.49/11,598.87 = 5,261.31/x
  3. Step 3: Cross multiply
    7,754.49x = 11,598.87 × 5,261.31
  4. Step 4: Simplify right side
    7,754.49x = 61,025,250.72
  5. Step 5: Solve for x
    x = 61,025,250.72/7,754.49
  6. Step 6: Final answer
    x = 7,869.67

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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.