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Finding the Fourth Proportional to 8,509.34, 12,764.12 and 2,962.80

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Solution

The fourth proportional to 8,509.34, 12,764.12 and 2,962.80 is: 4,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.34 : 12,764.12 = 2,962.80 : x
  2. Step 2: Convert to fraction form
    8,509.34/12,764.12 = 2,962.80/x
  3. Step 3: Cross multiply
    8,509.34x = 12,764.12 × 2,962.80
  4. Step 4: Simplify right side
    8,509.34x = 37,817,519.92
  5. Step 5: Solve for x
    x = 37,817,519.92/8,509.34
  6. Step 6: Final answer
    x = 4,444.24

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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.