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Finding the Fourth Proportional to 7,709.48, 10,638.68 and 4,306.26

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Solution

The fourth proportional to 7,709.48, 10,638.68 and 4,306.26 is: 5,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.48 : 10,638.68 = 4,306.26 : x
  2. Step 2: Convert to fraction form
    7,709.48/10,638.68 = 4,306.26/x
  3. Step 3: Cross multiply
    7,709.48x = 10,638.68 × 4,306.26
  4. Step 4: Simplify right side
    7,709.48x = 45,812,922.14
  5. Step 5: Solve for x
    x = 45,812,922.14/7,709.48
  6. Step 6: Final answer
    x = 5,942.41

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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.