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Finding the Fourth Proportional to 8,458.48, 12,680.16 and 5,674.24

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Solution

The fourth proportional to 8,458.48, 12,680.16 and 5,674.24 is: 8,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.48 : 12,680.16 = 5,674.24 : x
  2. Step 2: Convert to fraction form
    8,458.48/12,680.16 = 5,674.24/x
  3. Step 3: Cross multiply
    8,458.48x = 12,680.16 × 5,674.24
  4. Step 4: Simplify right side
    8,458.48x = 71,950,271.08
  5. Step 5: Solve for x
    x = 71,950,271.08/8,458.48
  6. Step 6: Final answer
    x = 8,506.29

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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.