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Finding the Fourth Proportional to 8,448.32, 12,674.91 and 4,288.16

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Solution

The fourth proportional to 8,448.32, 12,674.91 and 4,288.16 is: 6,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.32 : 12,674.91 = 4,288.16 : x
  2. Step 2: Convert to fraction form
    8,448.32/12,674.91 = 4,288.16/x
  3. Step 3: Cross multiply
    8,448.32x = 12,674.91 × 4,288.16
  4. Step 4: Simplify right side
    8,448.32x = 54,352,042.07
  5. Step 5: Solve for x
    x = 54,352,042.07/8,448.32
  6. Step 6: Final answer
    x = 6,433.47

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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.