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Finding the Fourth Proportional to 8,584.16, 11,841.95 and 5,401.40

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Solution

The fourth proportional to 8,584.16, 11,841.95 and 5,401.40 is: 7,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.16 : 11,841.95 = 5,401.40 : x
  2. Step 2: Convert to fraction form
    8,584.16/11,841.95 = 5,401.40/x
  3. Step 3: Cross multiply
    8,584.16x = 11,841.95 × 5,401.40
  4. Step 4: Simplify right side
    8,584.16x = 63,963,063.02
  5. Step 5: Solve for x
    x = 63,963,063.02/8,584.16
  6. Step 6: Final answer
    x = 7,451.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.