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Finding the Fourth Proportional to 7,744.20, 10,689.30 and 4,764.30

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Solution

The fourth proportional to 7,744.20, 10,689.30 and 4,764.30 is: 6,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.20 : 10,689.30 = 4,764.30 : x
  2. Step 2: Convert to fraction form
    7,744.20/10,689.30 = 4,764.30/x
  3. Step 3: Cross multiply
    7,744.20x = 10,689.30 × 4,764.30
  4. Step 4: Simplify right side
    7,744.20x = 50,927,031.99
  5. Step 5: Solve for x
    x = 50,927,031.99/7,744.20
  6. Step 6: Final answer
    x = 6,576.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.