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Finding the Fourth Proportional to 8,384.11, 12,578 and 2,541.18

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Solution

The fourth proportional to 8,384.11, 12,578 and 2,541.18 is: 3,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.11 : 12,578 = 2,541.18 : x
  2. Step 2: Convert to fraction form
    8,384.11/12,578 = 2,541.18/x
  3. Step 3: Cross multiply
    8,384.11x = 12,578 × 2,541.18
  4. Step 4: Simplify right side
    8,384.11x = 31,962,962.04
  5. Step 5: Solve for x
    x = 31,962,962.04/8,384.11
  6. Step 6: Final answer
    x = 3,812.33

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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.