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Finding the Fourth Proportional to 8,323.62, 12,487.44 and 2,777.01

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Solution

The fourth proportional to 8,323.62, 12,487.44 and 2,777.01 is: 4,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.62 : 12,487.44 = 2,777.01 : x
  2. Step 2: Convert to fraction form
    8,323.62/12,487.44 = 2,777.01/x
  3. Step 3: Cross multiply
    8,323.62x = 12,487.44 × 2,777.01
  4. Step 4: Simplify right side
    8,323.62x = 34,677,731.87
  5. Step 5: Solve for x
    x = 34,677,731.87/8,323.62
  6. Step 6: Final answer
    x = 4,166.18

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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.