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Finding the Fourth Proportional to 8,252.54, 12,381.96 and 4,967.96

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Solution

The fourth proportional to 8,252.54, 12,381.96 and 4,967.96 is: 7,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.54 : 12,381.96 = 4,967.96 : x
  2. Step 2: Convert to fraction form
    8,252.54/12,381.96 = 4,967.96/x
  3. Step 3: Cross multiply
    8,252.54x = 12,381.96 × 4,967.96
  4. Step 4: Simplify right side
    8,252.54x = 61,513,082.00
  5. Step 5: Solve for x
    x = 61,513,082.00/8,252.54
  6. Step 6: Final answer
    x = 7,453.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.