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Finding the Fourth Proportional to 8,301.98, 12,448.65 and 2,457.80

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Solution

The fourth proportional to 8,301.98, 12,448.65 and 2,457.80 is: 3,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.98 : 12,448.65 = 2,457.80 : x
  2. Step 2: Convert to fraction form
    8,301.98/12,448.65 = 2,457.80/x
  3. Step 3: Cross multiply
    8,301.98x = 12,448.65 × 2,457.80
  4. Step 4: Simplify right side
    8,301.98x = 30,596,291.97
  5. Step 5: Solve for x
    x = 30,596,291.97/8,301.98
  6. Step 6: Final answer
    x = 3,685.42

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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.