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Finding the Fourth Proportional to 7,704.82, 10,638.57 and 6,386.14

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Solution

The fourth proportional to 7,704.82, 10,638.57 and 6,386.14 is: 8,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.82 : 10,638.57 = 6,386.14 : x
  2. Step 2: Convert to fraction form
    7,704.82/10,638.57 = 6,386.14/x
  3. Step 3: Cross multiply
    7,704.82x = 10,638.57 × 6,386.14
  4. Step 4: Simplify right side
    7,704.82x = 67,939,397.42
  5. Step 5: Solve for x
    x = 67,939,397.42/7,704.82
  6. Step 6: Final answer
    x = 8,817.78

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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.