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Finding the Fourth Proportional to 8,492.98, 11,720.16 and 4,716.16

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Solution

The fourth proportional to 8,492.98, 11,720.16 and 4,716.16 is: 6,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.98 : 11,720.16 = 4,716.16 : x
  2. Step 2: Convert to fraction form
    8,492.98/11,720.16 = 4,716.16/x
  3. Step 3: Cross multiply
    8,492.98x = 11,720.16 × 4,716.16
  4. Step 4: Simplify right side
    8,492.98x = 55,274,149.79
  5. Step 5: Solve for x
    x = 55,274,149.79/8,492.98
  6. Step 6: Final answer
    x = 6,508.22

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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.