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Finding the Fourth Proportional to 8,457.40, 12,686.10 and 3,262.06

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Solution

The fourth proportional to 8,457.40, 12,686.10 and 3,262.06 is: 4,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.40 : 12,686.10 = 3,262.06 : x
  2. Step 2: Convert to fraction form
    8,457.40/12,686.10 = 3,262.06/x
  3. Step 3: Cross multiply
    8,457.40x = 12,686.10 × 3,262.06
  4. Step 4: Simplify right side
    8,457.40x = 41,382,819.37
  5. Step 5: Solve for x
    x = 41,382,819.37/8,457.40
  6. Step 6: Final answer
    x = 4,893.09

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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.