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Finding the Fourth Proportional to 8,262.02, 12,389 and 5,764.41

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Solution

The fourth proportional to 8,262.02, 12,389 and 5,764.41 is: 8,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.02 : 12,389 = 5,764.41 : x
  2. Step 2: Convert to fraction form
    8,262.02/12,389 = 5,764.41/x
  3. Step 3: Cross multiply
    8,262.02x = 12,389 × 5,764.41
  4. Step 4: Simplify right side
    8,262.02x = 71,415,275.49
  5. Step 5: Solve for x
    x = 71,415,275.49/8,262.02
  6. Step 6: Final answer
    x = 8,643.80

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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.