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Finding the Fourth Proportional to 8,507.94, 12,762.48 and 2,267.88

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Solution

The fourth proportional to 8,507.94, 12,762.48 and 2,267.88 is: 3,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.94 : 12,762.48 = 2,267.88 : x
  2. Step 2: Convert to fraction form
    8,507.94/12,762.48 = 2,267.88/x
  3. Step 3: Cross multiply
    8,507.94x = 12,762.48 × 2,267.88
  4. Step 4: Simplify right side
    8,507.94x = 28,943,773.14
  5. Step 5: Solve for x
    x = 28,943,773.14/8,507.94
  6. Step 6: Final answer
    x = 3,401.97

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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.