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Finding the Fourth Proportional to 8,477.50, 12,716.34 and 2,321.50

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Solution

The fourth proportional to 8,477.50, 12,716.34 and 2,321.50 is: 3,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.50 : 12,716.34 = 2,321.50 : x
  2. Step 2: Convert to fraction form
    8,477.50/12,716.34 = 2,321.50/x
  3. Step 3: Cross multiply
    8,477.50x = 12,716.34 × 2,321.50
  4. Step 4: Simplify right side
    8,477.50x = 29,520,983.31
  5. Step 5: Solve for x
    x = 29,520,983.31/8,477.50
  6. Step 6: Final answer
    x = 3,482.27

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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.