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Finding the Fourth Proportional to 8,271.74, 12,407.54 and 3,341.30

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Solution

The fourth proportional to 8,271.74, 12,407.54 and 3,341.30 is: 5,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.74 : 12,407.54 = 3,341.30 : x
  2. Step 2: Convert to fraction form
    8,271.74/12,407.54 = 3,341.30/x
  3. Step 3: Cross multiply
    8,271.74x = 12,407.54 × 3,341.30
  4. Step 4: Simplify right side
    8,271.74x = 41,457,234.66
  5. Step 5: Solve for x
    x = 41,457,234.66/8,271.74
  6. Step 6: Final answer
    x = 5,011.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.