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Finding the Fourth Proportional to 8,492.82, 11,719.88 and 4,715.87

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Solution

The fourth proportional to 8,492.82, 11,719.88 and 4,715.87 is: 6,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.82 : 11,719.88 = 4,715.87 : x
  2. Step 2: Convert to fraction form
    8,492.82/11,719.88 = 4,715.87/x
  3. Step 3: Cross multiply
    8,492.82x = 11,719.88 × 4,715.87
  4. Step 4: Simplify right side
    8,492.82x = 55,269,377.62
  5. Step 5: Solve for x
    x = 55,269,377.62/8,492.82
  6. Step 6: Final answer
    x = 6,507.77

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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.