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Finding the Fourth Proportional to 7,126.47, 10,685.10 and 3,841.92

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Solution

The fourth proportional to 7,126.47, 10,685.10 and 3,841.92 is: 5,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.47 : 10,685.10 = 3,841.92 : x
  2. Step 2: Convert to fraction form
    7,126.47/10,685.10 = 3,841.92/x
  3. Step 3: Cross multiply
    7,126.47x = 10,685.10 × 3,841.92
  4. Step 4: Simplify right side
    7,126.47x = 41,051,299.39
  5. Step 5: Solve for x
    x = 41,051,299.39/7,126.47
  6. Step 6: Final answer
    x = 5,760.40

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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.