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Finding the Fourth Proportional to 8,521.46, 12,777.86 and 3,900.50

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Solution

The fourth proportional to 8,521.46, 12,777.86 and 3,900.50 is: 5,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.46 : 12,777.86 = 3,900.50 : x
  2. Step 2: Convert to fraction form
    8,521.46/12,777.86 = 3,900.50/x
  3. Step 3: Cross multiply
    8,521.46x = 12,777.86 × 3,900.50
  4. Step 4: Simplify right side
    8,521.46x = 49,840,042.93
  5. Step 5: Solve for x
    x = 49,840,042.93/8,521.46
  6. Step 6: Final answer
    x = 5,848.77

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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.