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Finding the Fourth Proportional to 8,584.45, 12,853.26 and 6,498.13

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Solution

The fourth proportional to 8,584.45, 12,853.26 and 6,498.13 is: 9,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.45 : 12,853.26 = 6,498.13 : x
  2. Step 2: Convert to fraction form
    8,584.45/12,853.26 = 6,498.13/x
  3. Step 3: Cross multiply
    8,584.45x = 12,853.26 × 6,498.13
  4. Step 4: Simplify right side
    8,584.45x = 83,522,154.40
  5. Step 5: Solve for x
    x = 83,522,154.40/8,584.45
  6. Step 6: Final answer
    x = 9,729.47

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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.