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Finding the Fourth Proportional to 8,584.64, 12,873.40 and 5,812.08

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Solution

The fourth proportional to 8,584.64, 12,873.40 and 5,812.08 is: 8,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.64 : 12,873.40 = 5,812.08 : x
  2. Step 2: Convert to fraction form
    8,584.64/12,873.40 = 5,812.08/x
  3. Step 3: Cross multiply
    8,584.64x = 12,873.40 × 5,812.08
  4. Step 4: Simplify right side
    8,584.64x = 74,821,230.67
  5. Step 5: Solve for x
    x = 74,821,230.67/8,584.64
  6. Step 6: Final answer
    x = 8,715.71

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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.