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Finding the Fourth Proportional to 8,509.28, 12,763.92 and 2,666.34

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Solution

The fourth proportional to 8,509.28, 12,763.92 and 2,666.34 is: 3,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.28 : 12,763.92 = 2,666.34 : x
  2. Step 2: Convert to fraction form
    8,509.28/12,763.92 = 2,666.34/x
  3. Step 3: Cross multiply
    8,509.28x = 12,763.92 × 2,666.34
  4. Step 4: Simplify right side
    8,509.28x = 34,032,950.45
  5. Step 5: Solve for x
    x = 34,032,950.45/8,509.28
  6. Step 6: Final answer
    x = 3,999.51

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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.