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Finding the Fourth Proportional to 12,878, 17,771.72 and 7,573.04

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Solution

The fourth proportional to 12,878, 17,771.72 and 7,573.04 is: 10,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878 : 17,771.72 = 7,573.04 : x
  2. Step 2: Convert to fraction form
    12,878/17,771.72 = 7,573.04/x
  3. Step 3: Cross multiply
    12,878x = 17,771.72 × 7,573.04
  4. Step 4: Simplify right side
    12,878x = 134,585,946.43
  5. Step 5: Solve for x
    x = 134,585,946.43/12,878
  6. Step 6: Final answer
    x = 10,450.84

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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.