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Finding the Fourth Proportional to 7,892.54, 10,893.11 and 4,706.04

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Solution

The fourth proportional to 7,892.54, 10,893.11 and 4,706.04 is: 6,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.54 : 10,893.11 = 4,706.04 : x
  2. Step 2: Convert to fraction form
    7,892.54/10,893.11 = 4,706.04/x
  3. Step 3: Cross multiply
    7,892.54x = 10,893.11 × 4,706.04
  4. Step 4: Simplify right side
    7,892.54x = 51,263,380.24
  5. Step 5: Solve for x
    x = 51,263,380.24/7,892.54
  6. Step 6: Final answer
    x = 6,495.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.