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Finding the Fourth Proportional to 8,457.48, 12,678.66 and 5,673.24

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Solution

The fourth proportional to 8,457.48, 12,678.66 and 5,673.24 is: 8,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.48 : 12,678.66 = 5,673.24 : x
  2. Step 2: Convert to fraction form
    8,457.48/12,678.66 = 5,673.24/x
  3. Step 3: Cross multiply
    8,457.48x = 12,678.66 × 5,673.24
  4. Step 4: Simplify right side
    8,457.48x = 71,929,081.06
  5. Step 5: Solve for x
    x = 71,929,081.06/8,457.48
  6. Step 6: Final answer
    x = 8,504.79

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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.