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Finding the Fourth Proportional to 8,480.50, 12,718.16 and 5,864.81

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Solution

The fourth proportional to 8,480.50, 12,718.16 and 5,864.81 is: 8,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.50 : 12,718.16 = 5,864.81 : x
  2. Step 2: Convert to fraction form
    8,480.50/12,718.16 = 5,864.81/x
  3. Step 3: Cross multiply
    8,480.50x = 12,718.16 × 5,864.81
  4. Step 4: Simplify right side
    8,480.50x = 74,589,594.42
  5. Step 5: Solve for x
    x = 74,589,594.42/8,480.50
  6. Step 6: Final answer
    x = 8,795.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.