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Finding the Fourth Proportional to 8,584.67, 12,865.30 and 5,254.07

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Solution

The fourth proportional to 8,584.67, 12,865.30 and 5,254.07 is: 7,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.67 : 12,865.30 = 5,254.07 : x
  2. Step 2: Convert to fraction form
    8,584.67/12,865.30 = 5,254.07/x
  3. Step 3: Cross multiply
    8,584.67x = 12,865.30 × 5,254.07
  4. Step 4: Simplify right side
    8,584.67x = 67,595,109.31
  5. Step 5: Solve for x
    x = 67,595,109.31/8,584.67
  6. Step 6: Final answer
    x = 7,873.93

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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.