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Finding the Fourth Proportional to 8,492.96, 11,724.24 and 5,665.04

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Solution

The fourth proportional to 8,492.96, 11,724.24 and 5,665.04 is: 7,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.96 : 11,724.24 = 5,665.04 : x
  2. Step 2: Convert to fraction form
    8,492.96/11,724.24 = 5,665.04/x
  3. Step 3: Cross multiply
    8,492.96x = 11,724.24 × 5,665.04
  4. Step 4: Simplify right side
    8,492.96x = 66,418,288.57
  5. Step 5: Solve for x
    x = 66,418,288.57/8,492.96
  6. Step 6: Final answer
    x = 7,820.39

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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.