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Finding the Fourth Proportional to 8,113.12, 12,172.64 and 5,894.08

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Solution

The fourth proportional to 8,113.12, 12,172.64 and 5,894.08 is: 8,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.12 : 12,172.64 = 5,894.08 : x
  2. Step 2: Convert to fraction form
    8,113.12/12,172.64 = 5,894.08/x
  3. Step 3: Cross multiply
    8,113.12x = 12,172.64 × 5,894.08
  4. Step 4: Simplify right side
    8,113.12x = 71,746,513.97
  5. Step 5: Solve for x
    x = 71,746,513.97/8,113.12
  6. Step 6: Final answer
    x = 8,843.27

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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.