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Finding the Fourth Proportional to 7,709.74, 10,638.93 and 4,306.71

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Solution

The fourth proportional to 7,709.74, 10,638.93 and 4,306.71 is: 5,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.74 : 10,638.93 = 4,306.71 : x
  2. Step 2: Convert to fraction form
    7,709.74/10,638.93 = 4,306.71/x
  3. Step 3: Cross multiply
    7,709.74x = 10,638.93 × 4,306.71
  4. Step 4: Simplify right side
    7,709.74x = 45,818,786.22
  5. Step 5: Solve for x
    x = 45,818,786.22/7,709.74
  6. Step 6: Final answer
    x = 5,942.97

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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.