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Finding the Fourth Proportional to 8,303.72, 12,457.06 and 2,757.41

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Solution

The fourth proportional to 8,303.72, 12,457.06 and 2,757.41 is: 4,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.72 : 12,457.06 = 2,757.41 : x
  2. Step 2: Convert to fraction form
    8,303.72/12,457.06 = 2,757.41/x
  3. Step 3: Cross multiply
    8,303.72x = 12,457.06 × 2,757.41
  4. Step 4: Simplify right side
    8,303.72x = 34,349,199.35
  5. Step 5: Solve for x
    x = 34,349,199.35/8,303.72
  6. Step 6: Final answer
    x = 4,136.61

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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.