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Finding the Fourth Proportional to 8,694.17, 11,997.75 and 4,715.25

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Solution

The fourth proportional to 8,694.17, 11,997.75 and 4,715.25 is: 6,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.17 : 11,997.75 = 4,715.25 : x
  2. Step 2: Convert to fraction form
    8,694.17/11,997.75 = 4,715.25/x
  3. Step 3: Cross multiply
    8,694.17x = 11,997.75 × 4,715.25
  4. Step 4: Simplify right side
    8,694.17x = 56,572,363.38
  5. Step 5: Solve for x
    x = 56,572,363.38/8,694.17
  6. Step 6: Final answer
    x = 6,506.93

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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.