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Finding the Fourth Proportional to 7,674.80, 11,521.40 and 5,202.11

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Solution

The fourth proportional to 7,674.80, 11,521.40 and 5,202.11 is: 7,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.80 : 11,521.40 = 5,202.11 : x
  2. Step 2: Convert to fraction form
    7,674.80/11,521.40 = 5,202.11/x
  3. Step 3: Cross multiply
    7,674.80x = 11,521.40 × 5,202.11
  4. Step 4: Simplify right side
    7,674.80x = 59,935,592.95
  5. Step 5: Solve for x
    x = 59,935,592.95/7,674.80
  6. Step 6: Final answer
    x = 7,809.41

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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.