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Finding the Fourth Proportional to 8,302.64, 12,455.92 and 3,686

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Solution

The fourth proportional to 8,302.64, 12,455.92 and 3,686 is: 5,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.64 : 12,455.92 = 3,686 : x
  2. Step 2: Convert to fraction form
    8,302.64/12,455.92 = 3,686/x
  3. Step 3: Cross multiply
    8,302.64x = 12,455.92 × 3,686
  4. Step 4: Simplify right side
    8,302.64x = 45,912,521.12
  5. Step 5: Solve for x
    x = 45,912,521.12/8,302.64
  6. Step 6: Final answer
    x = 5,529.87

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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.